Question

If f(x) = -3x + 4 and g(x) = x², what is (gºf)(0)?

Answer 1

(gºf)(0) = 16

Explanation:

Given,

f(x) = -3x + 4

g(x) =
`x^(2)`

Now,

(g°f)(x) = g(f(x))

thus, (g°f)(0) = g(f(0))

= g(4) As, f(x) = -3x + 4

f(0) = -3(0) + 4 = 4.

=
`4^(2)` As,

g(x) = x²

= 16.

Thus , (gºf)(0) = 16