Given f (9) = 2, f' (9) = 6, g (9) = -1, and g' (9) = 8, find the values of the following. (a) (b) (fg)' (9) = Number (§)')= Number

Q: Given that g(x) =x², find each of the following. a) g(3) b) g(- 3) c) g(-x) d) g(2y) e) g(2 +h)

A: (e) Find the                           Explanation: Given that,

Q: given two functions  p(x) = 2x, q(x) = 3x2 -5   Find: a) (q◦p)(-1) b) (p◦q) (X)

A:

Q: Let g(t) give the total number of gallons of maple syrup sold by a local farmer over the first t…

A:

Q: If the function y = ln(3) · ()4 is expressed as a power function in the form y = k · xº , then what…

A: Solve and compare

Q: Given f(x) = 23 10x, evaluate the following. (a) (f of-)(42) = (b) (f o f)(40) = %3D

A: First we will calculate the inverse of f. Then see that the composition of f and f inverse works…

Q: If f(3) = 1, f0(3) = 3, g(3) = 2, and g0(3) = 4, what is ( fg)0(3)?

A: Given: f(3)=1, f'(3)=3, g(3)=2, g'(3)=4

Q: If g(a)= b and f(b) = c, then explain how to find (f og) (a)

A: Given g(a)= b ......(1) f(b) = c .....(2)

Q: Given f(x) = 8x and g(x) = 9x + 1, find the following expressions. (a) (fo g)(4) (b) (g o f)(2) (c)…

A: Composition of functions

Q: Given the functions f (x) = 3x + 5 = (x) 6 g (x) = 4 – x2 and h (x) = = 1 *, find each of the -…

A:

Q: write down the power seires for (x)(f(x))

A:

Q: , find and simplifyf"(x)- Given 3 f(x) = (2x – 1)2

A: Answer

Q: Given f (3) = 2, f' (3) = 8, g(3) = -1, and g' (3) = 7, find the values of the following (a) (f9)…

A: Given : f3 = 2f'3 = 8g3 = -1g'3 = 7

Q: 15) Given f is a one-to-one function with values f(-4) = 7 and f(9) = -15. Find the corresponding…

A: Solution: The objective is to find the corresponding inverse functions

Q: Given f(x)= a) f(-5) x-1ifx<-2 5x+3ifx≥-2 b)/(-2) find each value. c)ƒ(7)

A:

Q: Evaluate each of the following expressions using the given table of values 2 (a) f(g(-1)) 1 2 (a)…

A: x-2-1012f(x)-10-21-1g(x)210-10The values of different functions at different inputs are given

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, =&gt; f-1(y)=x

Q: Given the functions f(x)=x²-x, g(x)=√x 14. (g-f)(A) find expressions for the following:

A: The given functions  and .The aim is to find the expression for .

Q: 10) If f(x) = 3x x +4 +4 and g(x) = f(×¹4), write an expression for g(x) and find its domain and…

A:

Q: For (x)= 2x-3 and 8(x)= 2x a) (f+g)(x) (b)(S-8)(x) (c)(S g)(2) (d) find (3)

A: This is the question based on composite functions.