Question

HELP PLEASE
(I need the explanation)

Answer 1

32

Explanation:

this is an attempt.

h(x)×f-g(x)=(2x+4)×x^2

=2x^3+4x^2

=>x=2

=32

Answer 2

Solution below.

Explanation:

This question may seem complicated, but it is really on the concept of substitution.

So given:

f(x) = 3x

g(x) = x - 4

h(x) =

`{x}^(2)`

We are asked to find (h•(f-g))(2).

Note: This is not a composite function.

First, lets find (h•(f-g))(x) first.

(f-g)(x) = f(x) - g(x) = 3x - (x - 4) = 2x + 4

(h•(f-g))(x) =

`{x}^(2) (2x + 4) \\ = 2{x}^(3) + 4 {x}^(2)`

Now we can find (h•(f-g))(2) by substituting x = 2 into the function.

(h•(f-g))(2) =

`2( {2})^(3) + 4( {2})^(2) \\ = 2 * 8 + 4 * 4 \\ = 16 + 16 \\ = 32`