Question

. f(x) = Square root of quantity x plus eight. ; g(x) = 8x - 12 Find f(g(x)). (1 point) f(g(x)) = 2 Square root of quantity two x plus one. f(g(x)) = 8 Square root of quantity x plus eight. - 12 f(g(x)) = 2 Square root of quantity two x minus one. f(g(x)) = 8 Square root of quantity two x plus one.

Answer 1

`f(g(x))` =
`√(8x - 4)`

Explanation:

•
`f(x) = √(x + 8)`

•
`g(x) = 8x - 12`

`f(g(x))` is the combination of the functions
`f(x)` and
`g(x)` such that
`g(x)` is the input to the function
`f(x)` .

This means, we have to replace the original input of
`f(x)`, which is
`x`, with the function
`g(x)`.

∴
`f(g(x))` =
`f(8x - 12)`

⇒
`√(8x - 12 + 8)`

⇒
`√(8x - 4)`