What is the value of f(−3)

Question

when f(x)=2x2−5x+10
?(1 point)
Responses

7
7

-23
-23

13
13

43

Answer 1

To find the value of \( f(-3) \) for the function \( f(x) = 2x^2 - 5x + 10 \), we substitute \( -3 \) for \( x \):

\[ f(-3) = 2(-3)^2 - 5(-3) + 10 \]

Now, we calculate each term step by step:

1. Calculate \( (-3)^2 \): \[ (-3)^2 = 9 \]

2. Calculate \( 2 \times 9 \): \[ 2 \times 9 = 18 \]

3. Calculate \( -5 \times -3 \): \[ -5 \times -3 = 15 \]

4. Now, substitute these values back into the equation: \[ f(-3) = 18 + 15 + 10 \]

5. Finally, add these values together: \[ 18 + 15 = 33 \ 33 + 10 = 43 \]

Thus, the value of \( f(-3) \) is \( 43 \).

The correct response is:

43