Question

Given that f(x) = x2 – 10x + 24 and g(x) = x – 6, find f(-x) = g(x) and

=
express the result in standard form.

Answer 1

Let's see

• f(-x)=g(x)
• (-x)²-10(-x)+24=x-6
• x²+10x+30=x
• x²+9x+30=0

Answer 2

• x² + 9x + 30 = 0

Explanation:

Given:

• f(x) = x² – 10x + 24 and
• g(x) = x – 6

Find f(- x) = g(x):

• (-x)² - 10(- x) + 24 = x - 6
• x² + 10x + 24 - x + 6 = 0
• x² + 9x + 30 = 0