If h(x)=(fog)(x) and h(x)=3 sqrt x+3, find g(x) if f(x) =3 sqrt x+2

Step-by-step explanation:

Given functions: h(x) = (fog)(x)   , h(x) = 3√x + 3   and f(x) = 3√x + 2

To find: function g(x)

Consider,

(fog)(x) = h(x)

f( g(x) ) = h(x)

Therefore,

Step-by-step explanation:

Consider the functions

It is given that

Using the composition of functions, we get

Divide both sides by 3.

Taking square on both sides.

Subtract 2 from both sides.

Interchange the sides.

Therefore, the required function is g(x)=x+1.

oof cheaters cheat because they’re lazy that’s why i cheat xd

: )

step-by-step explanation: