Question

Please Help!! f(x) = square root of x plus 7 ; g(x) = 8x -11 Find f(g(x))

Answer 1

I'm not sure if you mean ( $\sqrt{x + 7}$ ) or ( $\sqrt{x} + 7$ ) I solved it both ways .

$f(x) = \sqrt{x + 7} \\ \\ f( \: g(x) \: ) = \sqrt{(8x - 11)+ 7} \\ = \sqrt{8x - 11 + 7} \\ = \sqrt{8x - 4} \\ = 2 \sqrt{2x - 1}$

____o_____o______

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

I hope I helped you^_^