Question

i would appreciate help,i dont need an explanation, just the answers. thankyou

Answer 1

we have

f(x)=7x-1

g(x)=(1/7)(x+1)

Part 1

Find out (fog)(x)

(fog)(x)=f(g(x))=7(1/7)(x+1)-1=x+1-1=x

therefore

(fog)(x)=x

Part 2

Find out (gof)(x)

(gof)(x)=g(f(x))=(1/7)(7x-1+1)=x

therefore

(gof)(x)=x

Part 3

(fog)(x)=(gof)(x)=x

the answer is Yes