Question

For the domain i got x>16 for (gof)(x) but it was wrong

Answer 1

f(x) = √x g(x) = 1/(x - 4)

`(f\text{ o g)(x) =}\sqrt[]{(1)/(x-4)}`

Domain of (f o g)(x) ==> 4 < x < +inf ==> x > 4

`(g\text{ o f)(x) = }\frac{1}{\sqrt[]{x}\text{ - 4}}`

Doamain of (g o f)(x) ==> x >= 0, x different of 16

`x\ge0\text{ and x}\\e16`