Answer:
fog(x) = [tex]2\sqrt{(2x - 1}[/tex].
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) = [tex]\sqrt{x+7}[/tex], g(x) = 8x - 11 .
fog(x) = [tex]\sqrt{8x - 11+7}[/tex].
fog(x) = [tex]\sqrt{8x - 4}[/tex].
Taking common 4
fog(x) = [tex]\sqrt{4(2x - 1}[/tex].
fog(x) = [tex]2\sqrt{(2x - 1}[/tex].
Therefore, fog(x) = [tex]2\sqrt{(2x - 1}[/tex].
