Question

F(x) = Square root of quantity x plus seven.; g(x) = 8x - 11 Find f(g(x)).

Answer 1

$f(x)=\sqrt{x+7} \\ \\ \\ g(x)=8x-11 \\ \\ \\ (fog)(x)=\sqrt{(8x-11)+7} \\ \\ \\ = \sqrt{8x-4} \\ \\ \\ 2\sqrt{2x-1} \\ \\ \\ \\ \\ {GOOD \quad LUCK$

Answer 2

Answer:

fog(x) = $2\sqrt{(2x - 1}$.

Step-by-step explanation:

Given : f(x) = Square root of quantity x plus seven.; g(x) = 8x - 11 .

To find : Find f(g(x)).

Solution : We have given

f(x) = $\sqrt{x+7}$, g(x) = 8x - 11 .

fog(x) =  $\sqrt{8x - 11+7}$.

fog(x) =  $\sqrt{8x - 4}$.

Taking common 4

fog(x) =  $\sqrt{4(2x - 1}$.

fog(x) = $2\sqrt{(2x - 1}$.

Therefore,  fog(x) = $2\sqrt{(2x - 1}$.