Given the functions: f (x) =x -8x g (x) = 5x h (x) =3x+2 Evaluate the function (h .f) (x) for x=1. Write your answer in exact simplified form. Select "Undefined" if applicable. (h of) (1) is OVO Undefined X 5Given the functions: f(x) =x -2x g (x) = 5x h (x) =6x -5 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 X 5Given k (x) =7x +2 and m (x) =x, (a) Find (k om) (x). (b) Find (m . k) (x). (c) Is (k om) (x) =(m ok)(x)? Part: 0 / 3 Part 1 of 3 (a) (k om) (x) =Refer to functions p and q. Evaluate (q .p) (x) and write the domain in interval notation. Write simplified fractions. p (x) =x - 7x 9 (x ) =- x - 18 Part: 0 / 2 Part 1 of 2 (q op) (x) =Refer to functions m and q. Evaluate (q .m) (x) and write the domain in interval notation. Writ or simplified fractions. m (x)=vx+) 9 (x) = X-6 Part: 0 / 2 Part 1 of 2 (qom) (x) = X 5Refer to function q. Find the function (q . q) (x) and write the domain in interval notation. Writ intervals as an integer or a simplified fraction. q (x) = x+5 Part: 0 / 2 Part 1 of 2 (q q) (x)=] OC XEvaluate (f .g) (x) and write the domain in interval notation. Write the answer in the intervals fraction. f ( x) = X g (x) = x+9 2 x-1 Part: 0 / 2 Part 1 of 2 (f g) ( x) = O XThe cost to hum:r tickets online for the dance show Riverdance is $40 per ticket. (a) Write a function that represents the cost C (I) [in $1 for 1 tickets to Rivet-dance. {b} There is a sales tax o1'4.5% and a processing fee of $1\" for a group of tickets. Write the tot: spent on tickets. (c) Evaluate {T n C) (1:). {cl} Find (T '5 C) [9) and interpret its meaning in the context of this problem. Part: (I!!! Partiof4 (a) Write a function that represents the cost C (I) [in $3 for I tickets to River-dance. cw [yd{3| \fFind two functions f'and g such that h (x) = (f .g) (x). h (x) = V3x-2 Select a function for f (x) and a function for g (x). Of (x) = Vx Of (x ) = Vx Of (x) = V3x Of(x) =3x-2 of(x) =x-2 O g(x) = Vx O g (x) = Vx O g (x) = V3x Og(x) =3x-2 Og(x) =x-2The graphs of h and & are shown. Evaluate the function at the given values of x, if possible. Write your answers as integers or simplified fractions. Select "Undefined" if applicable. . . ... 4 3 y = h(x) N - X -5 -2-1 1 2 3 4 5 1/ y - k(x ) -5 Part 1 of 7 (h +k) (0) is 00 Undefined X 5Part 2 of 7 (k - h) (-3) is Part 3 of 7 K ( - 3 ) is Part 4 of 7 (h.k) (-2) isPart 5 of 7 (k oh) (1) is Part 6 of 7 (h ok) (-1) is Part 7 of 7 h ( k (3) ) isRefer to the functions f and g and evaluate the function for the given value of x. Select "Undefin f= {(3, 4), (0, -2), (5, 4), (-1, 2), (-2, -2) ) and g= ((-2, -2), (6, 9), (1, 1), (5, 6) ) (g of ) ( - 2) is Undefined X 5