Given: f(1) = 3x– 7, 9(x) = 2x^2 – 3x +1, h(x) = 4x + 1, k(x) = –x^2+3
Find: (h o g) (x)

(h o g) (x) = h(g(x))

Step-by-step explanation:

(h o g) (x) = h(g(x)) = 4(g(x))+1 = 4(2x^2 -3x + 1 ) + 1

= 4*2x^2 - 4*3x + 4*1 + 1

= 8x^2 - 12x + 4 + 1

= 8x^2 - 12x + 5

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: