Find the difference quotient and simplify. f(x)=-4x2-4x+5 The difference quotient off(x) is ii. Given the functions: f (x) =x -8x g (x) = V2x h (x) =5x-2 Evaluate the function h (f (x)) for x=5. Write your answer in exact simplified form. Select "Undefined" if applicable. h (f ( 5) ) is Undefined X 5Given the functions: f(x)=x3-5x g(x)=\/E h(x)=3x+2 Evaluate the function (h of) (x) forx= -1. Write your answer in exact simplified form. Select "Undefined" if applicable. (h f)(1) is |:|. Undefined Given the functions: f (x) =x' -6x g (x) =3x h (x) =4x -1 Evaluate the function (g of) (x) for x=5. Write your answer in exact simplified form. Select "Undefined" if applicable. (g of ) (5) is Undefined XGiven k (x) = -6x -8 and m (x) =x, (a) Find (k om) (x). (b) Find (m o k) (x). (c) Is (k om) (x) =(m ok)(x)? Part: 0 / 3 Part 1 of 3 (a) (k om) (x) = 00 XRefer to functions p and q. Evaluate (q op) (x) and write the domain in interval notation. Write your answers as integers or simplified fractions. p (x) =x- 3x 9 ( x ) = 1 x+2 Part: 0 / 2 Part 1 of 2 ( q op) (x) = XRefer to functions In and (1. Evaluate (q 0 m) (x) and write the domain in interval notation. Write your answers as integers or simplified fractions. Part: 0 / 2 Part 1 of 2 (qom)(x)=l_l % 5 Refer to function q. Find the function (q . q) (x) and write the domain in interval notation. Write any number in the intervals as an integer or a simplified fraction. q (x = x - 8 Part: 0 / 2 Part 1 of 2 (q q) (x) = 00 X 5Evaluate (f g) (x) and write the domain in interval notation. Write the answer in the intervals as an integer or simplified fraction. f (x ) = 24 g ( x ) = x + 25 x 2 - 1 Part: 0 / 2 Part 1 of 2 (f g) (x) = 00 X 5The cost to buy tickets online for the dance show Riverdance is $40 per ticket. (a) Write a function that represents the cost C(x) (in $) for X tickets to Riverdance. (b) There is a sales tax of 3.5% and a processing fee of $9 for a group of tickets. Write the total cost T(a) for a dollars spent on tickets. (c) Evaluate (T 0 C) (x). (cl) Find (T 0 C) (6) and interpret its meaning in the context of this problem. Part: 0 / 4 Part 1 of 4 (a) Write a function that represents the cost C(x) (in $) for x tickets to Riverdance. c