Question

Help !!!! I don’t understand

Answer 1

`(g\ o\ f)=-20x+10`

Explanation:

One is given the following functions:

f(x) =5x + 2

g(x) = 4x + 2

One is asked to find the following:

`(g\ o\ f)(x)`

One can rewrite this operation as the following:

g(f(x))

In essence, one substitutes in function (g) in place of the parameter (x), and solves to find the new function formed.

`g(f(x))\\\\=g(-5x+2)\\\\=4(-5x+2)+2`

Simplify, distribute, multiply every term in the parenthesis by the term outside of it, then simplify,

`=-20x+8+2\\\\=-20x+10`