0

If function f is defined by f(x) = 3x^{2} − 5x + 4, what is f(x − 4) ?

A) f(x − 4) = 3x^{2} − 5x

B) f(x − 4) = 3x^{2} − 5x + 72

C) f(x − 4) = 3x^{2} − 29x + 52

D) f(x − 4) = 3x^{2} − 29x + 72

**Comments**

0

if f(x) = 3x^{2} − 5x + 4,

f(x − 4) = 3(x - 4)^{2} − 5(x - 4) + 4

= 3(x^{2} - 8x + 16) − 5x + 20 + 4

= 3x^{2} - 24x + 48 − 5x + 20 + 4

collect like term

= 3x^{2} - 24x − 5x + 20 + 4 + 48

= 3x^{2} − 29x + 72

**Answer: D**

Your Answer