Evaluate the function.

Find f (-x) when f (x) = 3x2 - 5x + 4

A. 3x2 + 5x + 4

B.-3x2 + 5x + 4

C.-3x2 + 5x - 4

D. 3x2 + 5x - 4

(3x2 - 5x - 12) feet

Step-by-step explanation: on ed.

Answer: Choice D) 3x^2 + 5x - 4

Explanation:

Wherever you see an 'x', replace it with '-x'. Simplify.

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

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

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

The only change that happened is the - 5x turned into + 5x

The 3x^2 term did not change because (-x) ^2 = x^2 for all real numbers x.

You can see this through an example like squaring - 7 which turns into 49, and so does squaring 7. This means (-7) ^2 = 7^2 = 49.