x f(x) g(x) f'(x) g'(x) 1 2 3 1 - 2 2 3 1 - 4 3 3 1 2 - 3 - 1 suppose, h(x) = f(g(x)) so, h'(1) = _______________________

Q: f(x + h) - f(x) What is the constant term when is performed, and it is given that h f(x) = x2 – x.

A:

Q: 4x2 + 3x + 2 If f(z) = then: f'(z) - f'(3) -

A:

Q: If f, g, and h are the given functions were f(x) = 5                g(x) = x2   h(x) = x - 5…

A: The given question is of the composite function which is solved in step 2.

Q: I + 9 If f(x) = 7x – 9 and g(x) 7 (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of…

A: Given: f(x)=7x-9 and gx=x+97. a fgx=fx+97                 =7x+97-9          ( Put the value x+97  in…

Q: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

Q: f(x) = *+2 find f (x)

A:

Q: The function f is one-to-one. Find its inverse. 5-4x f(x) = 9x+S -9x + 4 O f'(x) = -8x+5 O f'(x) =…

A:

Q: K Let f(x) - f''(x) = 3 + 3 x6

A:

Q: f(x) 3 f(g(0)) = 2 3 9(f(4)) = -1 4 5 g(x) f(f(2)) g(9(5)) = %3D 3-

A: We will find all the values as following.

Q: Find fo go h. f(x) X g(x) = x³, h(x) = x + 6

A: Given :

Q: (a) Two functions are given as follows: f(x)=3x+2 2 g(x)= x-1 (1) (ii) Determine the function…

A: Given problem:- 2. (a) Two functions are given as follows:            f(x) = 3x + 2           g(x)…

Q: Let f(x) Determine a function 4 – x | y = g(x) so that f(g(x)) x + 3

A: Given f(x)=x+14-x

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: 6x3 + 5x* + 3x Suppose that f(x) = Evaluate each of the following: x3 f'(-4) = f'(1) = %3D

A:

Q: h(x) = 1 (x-2)3

A: (a) consider functions        f(x) = 1/x3 and g(x) = x - 2.       Then, f(g(x)) = f(x - 2)…

Q: A function f is defined by f(x) = 5x + 2. Find the following. (a) f(0) (b) f(4) (c) f(-2)

A:

Q: A function f is defined by f(x) = 3x + 1. Find the following. (a) f(0) (b) f(4) f(-2)

A:

Q: f(x) 4 f(9(5)) = -1 5 9(f(3)) g(x) f(f(0)) 4- 9(9(4)) = 4 5 3. 3. 3.

A: Topic - composite Functions

Q: f(x+ h) – f(x) What is the constant term when is performed, and it is given that f(x) = x² – x.

A: Solve the function for get constant term

Q: *+ 3x² + 2 If f(x) = then f'(1) = 0 3 O 7

A: Differentiate wrt x

Q: if x 0 find: (a) f(-2) (b) f(0) (c) f(2)

A: Given,

Q: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is…

A: we know that uv' = u'v+v'u                   product chain rule of differentiation