The Total solution for NCERT class 6-12
Find fog (2) and gof (1) whenf: R → R; f(x) = x2 + 8and g: R → R; g(x) = 3x3 + 1.
Givenf: R → R; f(x) = x2 + 8 and g: R → R; g(x)= 3x3 + 1.
Consider(fog) (2) = f (g (2))
= f (3 × 23 +1)
= f(3 × 8 + 1)
= f (25)
= 252 +8
= 633
(gof) (1) = g (f (1))
= g (12 +8)
= g (9)
= 3 × 93 +1
= 2188