Question

When f(x) = 6x² - 2x - 5, evaluate f(-2)

Answer 1

23

Explanation:

Given Information:

• f(x) = 6x² - 2x - 5

If we have to evaluate f(-2), we can consider that f(x) = f(-2) = 6x²- 2x - 5.

• So, if f(x) = f(-2), then we have the following solution: x = -2.

Now, we can substitute the solution into the quadratic equation and simplify it to its simplest possible form using the solution (x = -2).

• ⇒ f(-2) = 6x² - 2x - 5
• ⇒ f(-2) = 6(-2)² - 2(-2) - 5
• ⇒ f(-2) = 6(-2)(-2) - 2(-2) - 5
• ⇒ f(-2) = 6(4) + 2(2) - 5
• ⇒ f(-2) = 24 + 4 - 5
• ⇒ f(-2) = 24 - 1 = 23

Therefore, the evaluated form for f(-2) is 23.