A.  Given the functions f(x) = x2 and g(x) = x – 3. Which is true? Explain why? (a) f o g = g o f  (b) g(f(x)) = (x-3) x2  (c) f(g(x)) = (x -3)2  (d) all of the above (e) none of these

Q: The function h(x)% = can be expressed in the form f(g(x)), where g(x) = (x + 3), and x + 3 f(x) is…

A: Given query is to find the function f(x).

Q: Given the functions fAx) = x - x and g(x) = x- 1, determine an equation for the combined Ax) y =…

A:

Q: x2 - 8 If f(x) = X-4 where is f not differentiable?

A: Find where is f not differentiable

Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

Q: 1. if f(x)= x2-4,  g(x)=x3 , F(x)=1/(x-3) a. F(g(y)) b. f(square root of x4+2)

A: F(g(y)) can be obtained by replacing x by g(y) in F(x)

Q: The function h(x)=1/x−4, can be expressed in the form f(g(x)), where g(x)=(x−4), and f(x) is defined…

A: Given: ------------------------------------------------------------------------------------------…

Q: 1-6 for part A F(x)= 4•2^-x +1

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: We need to derivate f(x) and g(x) to find if the given derivate is right or not.

Q: Complete the table.

A: Given;

Q: 6. Suppose f(x)-<ɛ. Solve for|x-1 where f defined below. x 1 f(x) = 2 3

A:

Q: 4. Given the functions g(x) = 5x +1 find g'(x) 2х -6

A: The given function is: g(x)=5x+12x-6

Q: i) f(-4) =                      ii) h[f(-6)] =                  iii) f[g(-2)]  =

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: given the function f(x)=4x^3 -5, we calculate f^-1 (x) to be

A: To find the inverse of

Q: 3.4 Differentiate f(x) = a°x* - 5ax with respect to x. Assume that a is a constant. f'(x) =D

A:

Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then…

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: (1) Given functions are  f(x) = (2x2-1)(x2+3)x2+1  and g(x) = (x2+8)7(2-3x2)5

Q: 1 The function h(x) can be expressed in the form 4 f(g(x)) where g(x) (x – 4) and f(x) is defined…

A: We have to find f(x).

Q: 4. Given xo < x, and x, define x - xo X1 - X0 and let P1(x) interpolate the function f(x) at the…

A:

Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: B. Find the domain of 1. h(x) = (x – 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1 and g(x) : x + 3 -1 3. If…

A: Domain is the set of all possible values of x (independent variable) for the function.

Q: 7. Find and sketch the domain of the function f(x, y) = 2 ln(49 – x² – y²) + 8/ -

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: 1. Fit the function g(x) = v1x + v2 (x – 1)3 to the data in table below. Xi -1 1 Yi 2 1 -1

A:

Q: For what value of the constant c is the function f continuous on (-o S cx2 + 8x x3 – cx if x 3 с 3

A:

Q: If f) (E-1) and g(x) = (-1) then the function () (x) is (2z-5) %3D (2x+5) (2x-5) (2x+5) (x-1) (x-1)…

A:

Q: 1. Given f(x) = -2x and g(x) = x - 7, find g(f(2)). *

A: f(x)=-2x g(x)=x-7

Q: 4. Find the functions f(x), g(x),h(x) that satisfy: f(g(h(x))) = 2.

A: A composite function is created when one function is substituted into another function .

Q: 2 A2. b. Given the two generating functions f(x) = and g(x) = find- (1-x)2 (1-x)2 the generating…

A: We have to find required generating function.

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, currently…

A:

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: 2. Suppose that f(x) is an unknown function, but we know that g(x) = (x² + 5)(f(x))². (a) Find…

A: Using product rule of derivatives.

Q: 4 If f (x) = 5, and g(x) = f¯'(x), what is g' (x) ? x-3 o gʻ(x) = 2 x2 o gʻ(x) = - 1 x2 o g'(x) = -…

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

A:

Q: Let h(x) = f(x)g(x). If f (x) = 3x² – x – 4 and g(x) = -x² + 2, what is h' (-1)?

A:

Q: The function h(x)=1x+7h(x)=1x+7 can be expressed in the form f(g(x))f(g(x)) where…

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Q: Where is the function undefined and where is it equal to 0. f(x)=3e^2x-3

A: We can solve above question both through algebra and also through drawing it's graph. Both of them…

Q: 1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: Evaluate: g(f(-3)) y fx) y = g(x) 10 10 6. 3 3456789 10 10-9-87-6 "5 -2 -1 2345678 9 10 -2 -4 to

A:

Q: 4 given that g(2) =1 and g'(2)= - 5, what is F'(2)? If F(x)= g(x)*

A: Just use the quotient rule of derivative and get the required solution. F'(2)=20

Q: 1 The function h(x) : can be expressed in the form f(g(x)), where g(x) = (x – 9), and f(x) is %3D x…

A: NOTE: Refresh your page if you can't see any equations. . but here

Q: Let h(x)=f(x)g(x). If f(x)=2x2+1,g(1)=0, and g′(1)=−1, what is h′(1)?

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Q: 1 2.x from first principles. 1.5 Differentiate f(x) x10

A:

Q: 3. Do you agree with the contention that the functions f(x) = x+2 and g(x) x-2 are the same in every…

A:

Q: Given: F(x) = 2x2+ 1, G(x) = 2x - 1, H(x) = x H-1(x) = -x x 1/x

A: For finding the inverse of H(x)

Q: Let g(x)= x-2/x+5 and h (x)= x+1/x+5. Then (h+g) (x) is equal to?

A: Topic  =Function

Q: -2 -1 1 _fx) g(x) 0 2-2 -1 2 5 -2 1 1 3 Determine the value of g'(f-(-2)) -1 O-2 1

A: We have to find the point

Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not…

A:

Q: Let h(x)=f(x)g(x). If f(x)=−3x 2−4x+2 and g(x)=−x2 +3x+2, what is h′(−1)? Do not include "h′(−1)="…

A: Consider the function

Q: If we apply Rolle's Theorem to the function f(x) = 2x – 12x -7 on the interval [1, 5], how many…

A: