Question

F(x) = \sqrt{x+8} ; g(x) = 8x - 12
Find f(g(x)).

Answer 1

`\mathbf{Task.} ~ f(x)=√(x+8); ~ g(x)=8x-12. ~ \mathrm{Find} ~ f(g(x)).`

`f(g(x))=√(g(x)+8)=√(8x-12 + 8)=√(8x-4)=`

`=√(4(2x-1))=2√(2x-1).`

`Answer \colon f(g(x))=2√(2x-1). ~ \blacktriangle`