College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Given the function [tex]f(x) = -5x^2 - x + 20[/tex], find [tex]f(3)[/tex].

A. -28
B. -13
C. 62
D. 64

Answer :

To evaluate the function
[tex]$$
f(x) = -5x^2 - x + 20
$$[/tex]
at [tex]$x = 3$[/tex], follow these steps:

1. Substitute [tex]$x = 3$[/tex] into the function:
[tex]$$
f(3) = -5(3)^2 - (3) + 20
$$[/tex]

2. Compute the square of [tex]$3$[/tex]:
[tex]$$
3^2 = 9
$$[/tex]

3. Multiply by [tex]$-5$[/tex]:
[tex]$$
-5 \times 9 = -45
$$[/tex]

4. Now, substitute these values back into the expression:
[tex]$$
f(3) = -45 - 3 + 20
$$[/tex]

5. Finally, combine the terms:
[tex]$$
-45 - 3 = -48 \quad \text{and} \quad -48 + 20 = -28
$$[/tex]

Thus, the value of [tex]$f(3)$[/tex] is
[tex]$$
\boxed{-28}
$$[/tex]