Question

Question #de8d3

Answer 1

`-40x+31`

Explanation:

First, let's understand what `f(x)` means:

`f(x)` is a function that takes whatever is put inside the parentheses and does something to it. Some examples are:

`color(white)"XXX"f(color(red)3) = -4(color(red)3)+7`
`color(white)"X"f(color(blue)1200) = -4(color(blue)1200)+7`
`color(white)"XXX"f(color(brown)y) = -4(color(brown)y)+7`
`f(color(limegreen)(x^2-8)) = -4(color(limegreen)(x^2-8))+7`

So, to evaluate `f(color(orange)(g(x)))`, just plug `color(orange)(g(x))` into `f(x)`.

`f(color(orange)(g(x))) = -4(color(orange)(g(x)))+7`

`color(white)"XXX..-" = -4(color(orange)(10x-6))+7`

Now simplify.

`color(white)".-...." -4(10x-6)+7`

`= -40x-4(-6)+7`

`= -40x+24+7`

`= -40x+31`

Final Answer