Question

Find (fog)(x) given f(x) = 2x2-x+1 and g(x) = 4x +3

Answer 1

fg(x) = 32x²+44x+16

Explanation:

fg(x) = f[g(x)]

= f(4x+3)

= 2(4x+3)²-(4x+3)+1

= 2(4x+3)²-(4x+3)+1

= 2(16x²+24x+9)-4x-3+1

= 32x²+44x+16