Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreStatement II is a correct explanation of Statement ILet f(x)=−1/4(x4)^2−8 What is the average rate of change for the quadratic function from x=−2 to x = 2?
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Let f x 1/x x 2 1/x 2- Misc 6 Let f = {("x, " 𝑥2/(1𝑥2)) x ∈ R } be a function from R into R Determine the range of f f = { ("x , " 𝑥2/(1𝑥2)) x ∈ R } We find different values of 𝑥2/(1 𝑥2) for different values of x Domain Value will always be between 0 & 1 We note that Value of range y = 𝑥2/(1 𝑥2) is always positive Also, it is always between 0 and 1 Hence, Range is any positiveSolution For Let f(x)f(y)=f(xsqrt(1y^(2))ysqrt(1x^(2))) f(x) is not identically zero Then Become a Tutor Blog Cbse Question Bank Pdfs Micro Class Download App Class 12 Math Calculus Relations and Functions II 501 150 Let f (x) f (y) = f (x 1 − y 2 y 1 − x 2 ) f (x) is not identically zero Then
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L e t f (x) = 2 {x} × (1 − {x}) sin − 1 (1 − {x}) × cos − 1 (1 − {x}) , where {x} denotes the fractional part of x R = x → 0 lim f ( x ) is equal to 501For x 1, x 2 ∈ R, consider We note that there are point, x1 and x 2 with x 1 ≠ x 2 and f (x 1) = f (x 2), for instance, if we take x 1 = 2 and x 2 = 1/2, then we have f (x 1) =2/5 and f(x 2) =2/5 but 2 ≠ 1/2 Hence f is not oneone Also, f is not onto for if so then for 1∈R ∃ x ∈ R such that f (x) = 1 which gives x/(x 2 1) =1 But there is no such x in the domain R, since theG(x)=(x1)/2# Let #D_f and R_f# denote the Domain and Range of the fun #f# resp Now, recall that the fun #fog# will be defined iff #R_gsubD_f# #(star)#, &, in the event, the fun #fog RR rarr RR# is defined by, #fog(x)=f(g(x)), x in D_g# In case of our funs
Let f(x)=x^21/x^2 and g(x)=x1/x,x∈ R {1,0,1} If h(x)=f(x)/g(x), then the local minimum value of h(x) is ← Prev Question Next Question → 0 votes 4k views asked in Mathematics by Nisa (598k points) Let f(x)=x 2 1/x 2 and g(x)=x1/x,x ∈ R {1,0,1} If h(x)=f(x)/g(x), then the local minimum value of h(x) is (1) 3 (2) – 3 (3) − 2 √ 2 (4) 2 √ 2 jee;A F(x) has 1 relative minimum and 1 relative maximum B as x → 00, F(x) → 00 x → 00,F(x) > 0 C as x → 00, F(x) —00 x → 0,F(x) 00 D F(x) has 0 relative minimums and 0 relative maximums Categories Uncategorized Leave a Reply Cancel reply Your email address will not be published Required fields are marked * Comment Name * Email *To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW Let f(x) = max {x^2 2 x,x} and g(x) = min {x^2 2x, x} then
Let f(x)=x1 and g(x)=2x2,find (fg)(x) ACTIVITY 2Directions Tabulate the following ages of thirtyfive (35) elders housed in an OrphanageFacility in Zamboanga City into a frequency distrib color (blue) (f (x)=5x1), so wherever we see an x, we input color (red) (g (x)=x^21) Doing this, we get color (blue) (5 (color (red) (x^21))1 Let's distribute the 5 to both terms to get 5x^251 Which can obviously be simplified to f (g (x))=5x^26 Recall that we want to know f (g (1)), and we know f (g (x)) now, so now we can plug Let g(x)=2f(x/2)f(2x) and f''(x) 0 for every x belongs to (0,2) Then g(x) increases in a (1/2,2) b (4/3,2) c (0,2) d (0,4/3) Maths Relations and Functions
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Let f(x) = x 1 4x Part 1 f(x) Assuming f is onetoone, find a formula for rx) f1(x) = Part 2 Function composition Check your answer to part 1 using function composition (f1 )(x) = (f f1)(x) = Part 3 Range Find the range of f O (4, 4) O (0, 1) u (1, o) (1, 1 Ex 12, 10 Let A = R − {3} and B = R − {1} Consider the function f A → B defined by f (x) = ((x − 2)/(x − 3)) Is f oneone and onto? Transcript Ex 62, 14 Find the least value of a such that the function f given by 𝑓 (𝑥) = 𝑥2 𝑎𝑥 1 is strictly increasing on (1, 2)We have f(𝑥) = 𝑥2 a𝑥 1 And, f'(𝑥) = 2𝑥 a Given f is strictly increasing on (1 ,2) ∴ f'(𝑥) > 0 on (1 ,2) Putting value of f'(x) 2𝑥 a > 0 on (1 ,2) Let's put x = 1 and x = 2 and find value of a So, a > −2
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Ex 12, 1 Show that the function f R* → R* defined by f(x) = 1/x is oneone and onto, where R* is the set of all nonzero real numbers Is the result true, if the domain R* is replaced by N with codomain being same as R*?This solution is from Chapter 13 problems 3942 the conclusion question is (ii) an additional year of age after adjusting for the other risk factors View Answer Let f (x) = 1/2, 0 < x < 1 or 2 < x < 3, zero elsewhere, be the pdf of X (a) Define the cdf of X and sketch its graphLet x and y be any two elements in the domain (N), such that f(x) = f(y) ⇒ `x^2 x 1 = y^2 y 1` ⇒ `(x^2 y^2 ) (x y ) = 0 ` ⇒ (x y) (x y ) (xy ) = 0 ⇒ ( x y) ( x y 1) = 0 ⇒ x y = 0 x y 1 can not be zero because x and y are natural numbers ⇒ x =y So, f is oneone Surjectivity when x = 1 `x^2 x 1
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Misc 8 Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a function from Z to Z defined by f(x) = ax b, for some integers a, b Determine a, b Given f(x) = axSolution For Let f(x)=\sin ^{1}\left(\frac{2 x}{1x^{2}}\right) and g(x)=x \operatorname{sgn}(x) If \lim _{x \rightarrow 0}\left\frac{f(x) Become a Tutor Blog Cbse Question Bank Pdfs Micro Class Download App Class 11 Math All topics Relations and Functions II 502 150 Let f (x) = sin − 1 (1 x 2 2Click here👆to get an answer to your question ️ Let f = {(1, 1), (2, 3), (0, 1), ( 1, 3)} be a function from Z to Z defined by f(x) = ax b for some
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Let $f(x)=(x1)(x2)(x3)(x4)5$ where $x\\in6,6$ If the range of the function is a,b where $a,b\\in N$, then find the value of (ab) My attempt is as followsSolving for f R* → R* f(x) = 1/x Checking oneoneClick here👆to get an answer to your question ️ Let f(x) = x^2 1x^2 and g(x) = x 1x, x ∈ R { 1, 0, 1 } If h(x) = f(x)g(x) , then the local minimum value of h(x) is
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# f RR rarr RR ;6x View solution steps Steps Using Derivative Rule for Sum f ( x ) = 3 x ^ { 2 } 1 f ( x) = 3 x 2 1 The derivative of a polynomial is the sum of the derivatives of its terms The derivative of a constant term is 0 The derivative of ax^ {n} is nax^ {n1} The derivative of a polynomial is the sum of the derivatives of its termsShare It On Facebook Twitter Email 1 Answer 0 votes answered by sanjaydas (8k points) selected May 6,
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F(x) = 2×2 – 2×2 1 is true? This is a way to express finding the inverse function of f(x)=x^216 First, write the function as y=x^216 Next, switch the y and x positions x=y^216 rarr Solve for y in terms of x x16=y^2 y=sqrt(x16) The inverse function should be f^1(x)=sqrt(x16)To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW Let `f (x) = x^2 4x 1`, then
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Graph f(x)=x^21 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more steps Complete the square for Tap for more steps Use the form , to find the values of , , and Consider the vertex form of a parabola Substitute the values of and into the formula Cancel the common factor of and Tap for more steps Factor out ofLet f (x) = sin − 1 (1 x 2 2 x ) and g (x) = cos − 1 (x 2 1 x 2 − 1 ) Then tha value of f(10)g(100) is equal to Then tha value of f(10)g(100) is equal to 503If mantissa of logarithm of 7193 to the base 10 is , then mantissa of logarithm of 7193 is The exponential form of lo g 8 0125 = − 1 is 8 − m = 0125Then value of m is
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Let f(x) = (x 1) 2 1, x ≥ 1 Statement I The set {x f(x) = f1 (x)} = {0, 1} Statement II f is a bijection (a) Statement I is false, Statement II is true (b) Statement I is true, Statement II is true;Answer to Let f(x)=1x^2/3 Show that f(1) = f(1) but there is no number c in (1, 1) such that f'(c) = 0 Why does this not contradict The Taylor expansions are 1/ (1x)=1xx^2x^3 o (x^3) (2x1)/ (12x^2)=12x2x^24x^3o (x^3) You can also obtain theses expansions by performing a long division Therefore, f (x)=1/ (1x) (2x1)/ (12x^2)=03x3x^23x^3o (x^3) Answer link Harish Chandra Rajpoot Jul
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Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange Let f(x) = (1 x(1 1 x))/1 xcos(1/(1 x)) for x ≠ Then ← Prev Question Next Question → 0 votes 285k views asked in Mathematics by paayal (147k points) Let f(x) = (1 x(1 1 x))/1 xcos(1/(1 x)) for x ≠ Then jee mains; x = 2, x = 0 the graph of f(x) = 3/2x can be drawn using two points this could be (0,0) and (2, 3) or (0,0) and (2, 3), for example the graph of f(x) = 3/2x is a straight line, with the same gradient throughout the graph of g(x) = (1/2)^x 1 can also be drawn using two reference points, eg (0,0) and (2, 3) however, it is important to note that it is a curve, and that its
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The function f R/{0}R given by f(x) = 1/x 2/(e^(2x) 1) can be made continuous at x =0 by defining f(0) as asked in Mathematics by Samantha ( 3k points) limitsStack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack ExchangeLet F (X) =`{ (1 X, 0≤ X ≤ 2) , (3 x , 2 < X ≤ 3)}` Find Fof CBSE CBSE (Arts) Class 12 Question Papers 17 Textbook Solutions Important Solutions 24 Question Bank Solutions Concept Notes & Videos 531 Time Tables 18 Syllabus Advertisement Remove all ads Let F (X) =`{ (1 X, 0≤ X ≤ 2) , (3 x , 2 < X ≤ 3)}` Find Fof Mathematics Advertisement Remove
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