Answered

IDNLearn.com: Your go-to resource for finding precise and accurate answers. Join our Q&A platform to get accurate and thorough answers to all your pressing questions.

You are given the function [tex]f(x) = 4x - 5[/tex] and asked to evaluate [tex]f(-1)[/tex].

Choose the statement below that best describes the procedure to find [tex]f(-1)[/tex]:

A. Replace each [tex]x[/tex] in the polynomial with -1 and find the resulting function value.

B. Multiply the polynomial by -1.

C. Replace [tex]f(x)[/tex] with -1 and solve to find the resulting [tex]x[/tex]-value.

D. Replace each [tex]x[/tex] in the polynomial with 1 and find the resulting function value.

Sagot :

GinnyAnsweridn
To solve for [tex]\( f(-1) \)[/tex] given the function [tex]\( f(x) = 4x - 5 \)[/tex], we need to replace each [tex]\( x \)[/tex] in the function with [tex]\(-1\)[/tex] and find the resulting function value.

Here's the detailed step-by-step procedure:

1. Start with the given function:
[tex]\[ f(x) = 4x - 5 \][/tex]

2. To evaluate [tex]\( f(-1) \)[/tex], substitute [tex]\(-1\)[/tex] for [tex]\( x \)[/tex]:
[tex]\[ f(-1) = 4(-1) - 5 \][/tex]

3. Perform the multiplication:
[tex]\[ 4 \times (-1) = -4 \][/tex]

4. Substitute the result back into the expression:
[tex]\[ f(-1) = -4 - 5 \][/tex]

5. Perform the subtraction:
[tex]\[ -4 - 5 = -9 \][/tex]

So [tex]\( f(-1) \)[/tex] evaluates to [tex]\(-9\)[/tex].

The statement that best describes the procedure to find [tex]\( f(-1) \)[/tex] is:
- Replace each [tex]\( x \)[/tex] in the polynomial with [tex]\(-1\)[/tex] and find the resulting function value.
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.