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. [tex]-28[/tex]

B. [tex]-13[/tex]

C. [tex]62[/tex]

D. [tex]64[/tex]

Answer :

We are given the function

[tex]$$
f(x) = -5x^2 - x + 20
$$[/tex]

and we need to calculate the value of [tex]$f(3)$[/tex].

Step 1. Substitute [tex]$x = 3$[/tex]:

[tex]$$
f(3) = -5(3)^2 - 3 + 20.
$$[/tex]

Step 2. Calculate [tex]$(3)^2$[/tex]:

[tex]$$
(3)^2 = 9.
$$[/tex]

Step 3. Multiply [tex]$9$[/tex] by [tex]$-5$[/tex]:

[tex]$$
-5 \cdot 9 = -45.
$$[/tex]

Step 4. Replace back into the function:

[tex]$$
f(3) = -45 - 3 + 20.
$$[/tex]

Step 5. Perform the additions:

Start by adding [tex]$-45$[/tex] and [tex]$-3$[/tex]:

[tex]$$
-45 - 3 = -48.
$$[/tex]

Then add [tex]$20$[/tex] to [tex]$-48$[/tex]:

[tex]$$
-48 + 20 = -28.
$$[/tex]

Thus, the value of the function at [tex]$x=3$[/tex] is

[tex]$$
f(3) = -28.
$$[/tex]

Other Questions