Question

4

If f(x)=x-4 and g(x) = -2x² + 3, which polynomial is equivalent to g(f(x))?
A -2x² + 16x - 29
C-2x² - 1
B -2x²-16x +35
D -2x³ +8x² + 3x - 12

Answer 1

Answer: A. -2x² + 16x -29

Explanation:

f(x) = x-4

g(x) = -2x² + 3

g(f(x)) = -2( x² + 16 -8x) + 3

= -2x² - 32 + 16x + 3

= -2x² + 16x -29