Let f : R → R : f(x) = x 2 + 2 and find f o g and g o f and hence find (f o g) (2) and (g o f) (-3).

Question

Philoid · Accepted Answer

To find: f o g, g o f ,(f o g) (2) and (g o f) (-3)

Formula used: (i) f o g = f(g(x))

(ii) g o f = g(f(x))

Given: (i) f : R → R : f(x) = x² + 2

f o g = f(g(x))

Ans) = 6

g o f = g(f(x))

⇒ g(x²+2)