Composition of functions with a square root...

Question

Am missing something every time i calculate this... help

If f ( x ) = x^4 + 9 , g ( x ) = x − 2 and h ( x ) = √ x , then f ( g ( h ( x ) ) ) =

Answer 1

f(g(h(x)))

=f(g(sqr(x))

=f(sqr(x) -2)

= (sqr(x)-2)^4 +9

=(x-4sqr(x) +4)^2 +9

= x^2 -4xsqr(x) -32sqr(x) + 25

Answer 2