Question

For the pair of functions, f and g, find (f o g)(x) and (gof)(x). f(x) =4-7x,g(x)=5x-5

Please help!Thanks in advance.

Answer 1

(f o g)(x)= f(g(x))
so in f(x) put g(x) in place of x.
for e.g., (f o g)(x)= f(g(x))=f(5x-5)=4-7(5x-5)
so (f o g)(x) = 4-35x+35=39-35x

Answer 2

similarly, (g o f)(x)= g(f(x))
so in g(x) put f(x) in place of x.
try it.