Given:
f(x)=2+x
g(x)=sqrt(x-7)
h(x)=2x^2-5
Determine: g(h(x))
This is what I've got so far:
f(x)=2+x
g(x)=sqrt(x-7)
h(x)=2x^2-5
g[h(x)]=sqrt(h(x)-7)
And I don't know if that's right or not >_<
Please help!
and continue...
g[h(x)]=sqrt(2x^2-5-7)
= sqrt(2x^2-12)
Thank you thank you thank you!!!
To find g(h(x)), we need to substitute h(x) into g(x).
Given that g(x) = sqrt(x-7) and h(x) = 2x^2 - 5, we can substitute h(x) into g(x) as follows:
g(h(x)) = sqrt(h(x) - 7)
= sqrt((2x^2 - 5) - 7)
= sqrt(2x^2 - 5 - 7)
= sqrt(2x^2 - 12)
Therefore, g(h(x)) = sqrt(2x^2 - 12).