Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Given the definitions of f(x) and g(x) below, find the value of (fog)(-8).
f(x) = x2 – 3x – 12
g(x) = -x - 12

Given The Definitions Of Fx And Gx Below Find The Value Of Fog8 Fx X2 3x 12 Gx X 12 class=

Sagot :

Answer:

[tex](f \circ g)(-8) = 16[/tex]

Step-by-step explanation:

The given function are;

f(x) = x² - 3·x - 12, and g(x) = -x - 12

[tex](f \circ g)(x) = f(g(x))[/tex]

Therefore;

[tex](f \circ g)(-8) = f(g(-8))[/tex]

g(-8) = -(-8) - 12 = 8 - 12 = -4

∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16

Therefore;

[tex](f \circ g)(-8) = f(g(-8)) = 16[/tex]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.