given f(x)=3-2x and g(x)=sqrt x

Question

find:
a) (f + g) (x)
b) (fg)(x)
c) f(g) (x)) and state its domain
d) f(g(5))

thank you

Answer 1

(f+g)(x) = f(x) + g(x) = 3-2x + √x
(fg)(x) = f(x) * g(x) = (3-2x)√x
f(g(x)) = 3-2g(x) = 3-2√x
now plug in x=5