Question

F(x) = Square root of x plus eight.; g(x) = 8x - 12 Find f(g(x))

Answer 1

`f(x)= √(x+8) \Rightarrow f(g(x))= √((8x-12)+8) = √(8x -4)`

Answer 2

`f(g(x))=√(8x-12) +8`

Explanation:

`f(x)=√(x) +8`

`g(x)= 8x-12`

f(g(x)) is a composition function

To find f(g(x)), plug in g(x) inside f(x)

`f(g(x))= f(8x-12)`

Now plug in 8x-12 for x in f(x)

`f(g(x))= f(8x-12)=√(8x-12) +8`

`f(g(x))=√(8x-12) +8`