Question

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

Answer 1

Answer:

$f(g(x))=\sqrt{8x-12} +8$

Step-by-step explanation:

 $f(x)=\sqrt{x} +8$

$g(x)= 8x-12$

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)

$f(g(x))= f(8x-12)=\sqrt{8x-12} +8$

$f(g(x))=\sqrt{8x-12} +8$

Answer 2

$f(x)= \sqrt{x+8} \Rightarrow f(g(x))= \sqrt{(8x-12)+8} = \sqrt{8x -4}$