16) The function f (x) = 2vx - 3 – 7, for x 2 3, has an inverse, f-1(x) defined on the domain x 2 -7. Find the inverse.

Q: 1 If f(x) = xī, then f'(x) is equal to %3D

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Q: 5. If f(x) = 2x² - 3 and g(x) = 2 sin x, determine (fog)(x) and (fog)(2), 0≤x≤ 2n.

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Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: 15. With f(x) = 3x +1 and h(r) = 2x – 4, find (f oh)(5) - %3D

A: we know that  (fog)(x) = f (g(x))

Q: 1. Determine if the function is even or odd x*+1 g(x) = f(x) = sin x x3-2x

A:

Q: Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) – In x) -

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Q: Suppose g'(x)=sec^2(x) and g(0) = 0. What is g(x)?

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Q: Find (f=1)'(a). f(x) = 5 + x2 + tan(Tx/2), -1 < x < 1, a = 5 (F-1)'(a) =

A: NOTE: Refresh your page if you can't see any equations. . take x=0 and check  so the point…

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

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Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_

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Q: Ex/ show that f(x) = x+7x + 4 x + 1 has an inverse. %3D

A: In this question we have to find whether the function has an inverse.

Q: 4.8 The derivative of f(x) = 1/(1 – 3x) is given by %3D 6x (1 – 3x)? Do you expect to have…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Show that g(x) = x/(x-1) is equal to its inverse on the domain x-1 {x : x # l}.

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Q: 1, Differentiate the function. (2) f(x)= 5x² – x+1 (3) f(x)= (2+3x'j - nx (4) f(x)= e (5) f(x)= (x³…

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Q: Let f(x)= 4x-1, h(x)= -x+4. Find (fo h)(-2). (foh)(-2) =

A:

Q: 2 2 V1-x 1-х

A: ∫un du = un+1n+1+C ∫cos(au) du =1asin(au)+C

Q: Let f(x)=3x^2+7x-4 and g(x)=9x^2-5x+1. Which equation shows h(x), where h (x)= f(x)-g(x)?

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Q: 4. h(x) = x+ 1

A: INVERSE FUNCTION If the input a of f  yield output b, then the inverse of the f yield a as output…

Q: What is the domain of f (x) = ln(x – 3) + 4?

A: Domain where fx is well defined.

Q: Consider x2 2x + 1 if x 1.

A:

Q: Let f(x)= 2x ; 0<x<1. Find E(3X+5)

A: Given, f(x)=2x   ;0&lt;X&lt;1

Q: Suppose that f(x) I + 6 is differentiable and has an inverse for æ > 1 and f (2) = 8. Find (f ')'…

A:

Q: Given the function f(x) = Vx – 4 has an inverse, find f-1(x). Then, ACCURATELY graph f(x), f-1(x)…

A: Given: f(x)=x-4. To Find: fx, f-1x and fof-1x

Q: Consider x2 – 2x + 1 if x 1.

A: Given: f(x) = x2-2x+1        if x&lt;-1xx+1               if  -1≤x≤0x-1             if  0&lt;x&lt;10…

Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what…

A: We need to find relation between f and g.

Q: Let h(x)=f(x)g(x). If f(x)=−2x^2+2x+3 and g(x)=−x^2−3x−4, what is h′(−1)?

A:

Q: Given f (x) = sin (z) and g (x) = x, the graph of the combined function h (x) = f (x) g (x) most…

A: Given  f(x) = sin(x) and g(x) = x

Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;1

Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: The function f(x) =x -x² – 2x – 1 is increasing over: %3D

A:

Q: Show that the function f(x)=x3−3x2+6x−1 is strictly increasing on R.

A: Let us find f'(x) using the power rule

Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

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Q: 4. Find a formula for the inverse of f(x) = V2 – 8x.

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Q: The (blue) graph of an invertible function, f(x), is given. Drag the (green) points from the top…

A: Graph of inverse function is

Q: Find the domain of the function 3x -1 A. f(x)= 1- 2x + 3 sin 2.

A:

Q: 2 If f'(x) = 3x? and X f (1) = 0, find f (x

A: Given  f'(x) = 3x2 - 2x3 ... (1) f(1) = 0

Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

A:

Q: Derivatives

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Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.

Q: Find the domain of the function. g(x) = ln ( 1/x - 5)

A: given,

Q: Suppose f"(x) = -16 sin(4x) andf'(0) = -4, and f(0) = 1. f(T/2) =

A:

Q: If f(x) = 3x – 2 and g(x) = x + 1, then (f(g))-'() equals O 1– x O x +1 O x – 1 1 O (3x – 1) 3

A:

Q: Suppose F(2) = 1, F(8) = − 1, and F'(x) = f(x). - 10 [ f(x) dz = 10

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Q: If f(x) = x² find a ō such that 0 < lx - 21 < & implies 1x² - 41 < F when = 1.

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Q: 7) Show that the function ƒ(z) = z² +4 has no inverse function.

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Q: .If f (x) = 5x - 2, g (x) = 2x - 3 and h (x) = x2, then (fogoh) (-1) =

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Q: If f(æ) = (x + 1)² – 1 then f(1) – f(0) is equal to:

A: Given f(x)=(x+1)2-1 Now we will find the value of f(1)-f(0) as shown below

Q: n x(0)=0

A:

Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.

A: f(x)=3x2, F(1)=-1