Question

Given the functions:
f(x)=3x+2 g(x)=3/x^2+2 h(x)=sqrt(x-2)

Find the following
a) (f∘g)(-5)
b) (h∘g)(3)
c) (g∘g)(-2)
d) (f∘h)(12)

Thanks

Answer 1

f(x)=3x+2 , g(x)=3/x^2+2 , h(x)=sqrt(x-2)

(f∘g)(-5) to me means:

f (g(x) )

so f(g(5)):

g(-5) = 3/27 = 1/9
f(1/9) = 3(1/9) + 2 = 1/3 + 2 = 5/3

(f∘g)(-5) = 5/3

so the others the same way