Evaluate the function f(x) = –2x² – 3x + 5 for the input value –3.

We will use the concept of functions to solve the given problem.

Answer: If f(x) = -x² - 3x + 5, then the value of f(-3) is -4.

Let us solve it step by step.

Explanation:

Given:

f(x) = -2x² - 3x + 5

Now let us solve this for x = -3.

⇒ f(-3) = -2(-3)² - 3(-3) + 5

⇒ f(-3) = -2(9) + 9 + 5

⇒ f(-3) = -18 + 14

⇒ f(-3) = -4

Thus, if f(x) = -2x² - 3x + 5, then the value of f(-3) is -4.