Question

suppose f(x) = x-2 and g(x)= x2

1. find (fog) and (gof)
2.Find (a) f(-3)
(b) f(-1)
(c) f (2)
(d) g(²)
(e)(g-1)
(f)g(-100)​

Answer 1

Step-by-step explanation:

See the solution.

(I was little confuse about g(x), so, I had solved for both, i.e g(x) =x² & g(x) =2x)

Hope it helps!

Answer 2

Step-by-step explanation:

1. find (fog)=f(x^2) =x^2-2

and (gof)=g(x-2) =(x-2)^2

2.Find (a) f(-3)=(-3-2) =(-5)

(b) f(-1)=(-1-2) =(-3)

(c) f (2) =2-2=0

(f)g(-100)=(-100) ^2=100^2=(10^2)^2=10^4