Question

Given the function f(x)=2x^2+1 and g(x)=x-4, find (fog)(x).

Answer 1

The functions are f(x) = 2x^2 + 1 and g(x) = x - 4.

To find the fog(x)

= f(g(x))

= f(x - 4)

= 2(x - 4)^2 + 1

= 2(x^2 - 8x +16) + 1

= 2x^2 - 16x + 32 + 1

= 2x^2 - 16x + 33.

Therefore, fog(x) = 2x^2 - 16x + 33.