Given the functions: f(x) = -6x g (x) = x+3 h ( x ) = - 1 x - 2 Evaluate the function (g- h) (3) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if applicable. (g - h) (3) is Undefined XGiven the functions: f(x) = -6x g (x) = x+7 h ( x ) = - 1 x - 2 Evaluate the function (h.g) (3) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if applicable. (h.g) (3) is 00 Undefined XGiven the functions: f(x) = 4x g (x) = x-5 h ( x ) = - 1 x+ 2 Evaluate the function (5) for x=5. Write your answer as an integer or simplified fraction. Select "Undefined" if applicable. (5) is Undefined XRefer to the functions r and p. Find the function (p r)(x) and write the domain in interval notation. r(x)=-2x p(x)=x2-5x q(x)=\\/ Refer to the functions r,p, and q. Find the function (pqxx) and write the domain in interval notation. r(x)=-5x p(x)=x2+2x q(x)=\\/9x Refer to functions s and t. Find the indicated function and write the domain in interval notation. SX =- x - 3 t( x = x-4 x2 - 16 3-x Part: 0 / 2 Part 1 of 2 00 X 5Refer to functions s and t. Find the indicated function and write the domain in interval notation. Write your answer as a single fraction. SX= x-4 t ( x)=x-5 x2- 25 4-x Part: 0 / 2 Part 1 of 2 (s + t) ( x) = X 5\fFind the difference quotient and simplify. f(x)=-9x2-4x+7 The difference quotient off(x) is D. Given the functions: f(x) =x' - 8x g (x) =2x h (x) =5x -2 Evaluate the function g (f(x)) for x=5. Write your answer in exact simplified form. Select "Undefined" if applicable. g (f (5)) is OV Undefined X 5Given the functions: f(x) =x' - 9x g (x) =3x h (x = 5x -4 Evaluate the function (h g) (x) for x=3. Write your answer in exact simplified form. Select "Undefined" if applicable. (h g) (3) is OV Undefined X 5Given the functions: f(x) =x' - 8x g (x) = 5x h (x =7x -7 Evaluate the function (g of) (x) for x= -3. Write your answer in exact simplified form. Select "Undefined" if applicable. (g of ) ( -3) is OVO Undefined X1 Given f(x) = 4x+ 3 and g(x) = E' (a) Find (f g)(x). (b) Find (g of)(x). (c) Is the operation of function composition commutative? Refer to functions p and q. Evaluate (q p)(x) and write the domain in interval notation. Write your answers as integers or simplified fractions. L x+5 p(x)=x2+6x (1(35): (q p)(x)= [:I Refer to functions In and q. Evaluate (q m)(x) and write the domain in interval notation. Write your answers as integers or simplied fractions. m(x)=\\/ q(x)=x:6 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. 9 (x = - x + 8 Part: 0 / 2 Part 1 of 2 (q q) (x) = XEvaluate (f g) (x) and write the domain in interval notation. Write the answer in the intervals as an integer or simplified fraction. X w f(x ) =. g (x) = x +4 2-1 Part: 0 / 2 Part 1 of 2 (f g) (x) = X 5The cost to buy tickets online for the dance show Riverdance is $60 per ticket. (3) Write a function that represents the cost C (x) (in 1;) fan: tickets to Riverdance. (b) There is a sales tax of 7.5% and a processing fee of $6 for a group of tickets. Write the total cost T (a) for a dollars spent on tickets. (c) Evaluate (T C)(x). (d) Find (T C)(8) and interpret its meaning in the context of this problem. Part: 0 I 4 Part 1 of 4 (a) Write a function that represents the cost C (x) (in $) for 17 tickets to Riverdance.