Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Consider functions fand g.
f(x) = -x3
g(x) = |1/8x-1|
What is the value of (gof)(4)?
O A. -1/8
OB. 9
O C. -9
O D. 1/8

Sagot :

The value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -x³

[tex]\rm g(x) = |\dfrac{1}{8}x-1|[/tex]

Plug x = 4 in the f(x)

f(4) = -4³ = -64

Plug the above value in the g(x)

[tex]\rm g(x) = |\dfrac{1}{8}(-64)-1|[/tex]

g(f(4)) = |-8-1| = |-9| = 9

Thus, the value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.