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

Answer:

$f(g(x))$  = $\sqrt{8x - 4}$

Step-by-step explanation:

• $f(x) = \sqrt{x + 8}$

• $g(x) = 8x - 12$

$f(g(x))$ 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  $g(x)$.

∴  $f(g(x))$ = $f(8x - 12)$

               ⇒ $\sqrt{8x - 12 + 8}$

               ⇒ $\sqrt{8x - 4}$