Question

Heyy i just need some help with questions 21and 25 if anyone could help me and show the work that would be amazing thank you!!

Answer 1

Step-by-step explanation:

21) f(x)=1/x-6. g(x)=7/x+6

f(g(x))=f(7/x+6)=1÷7/x+6 - 6=x+6/7 - 6

g(f(x))=g(1/x-6)=7÷1/x-6 - 6 =7(x-6) - 6

simplify forward

25)f(x)=|x| g(x)=5x+1

f(g(x))=f(5x+1)=|5x+1|=5x+1=g(x)

g(f(x))=g(|x|)=5|x|+1=5x+1=g(x)