Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Watch rep
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
Submit Answer
Answer:
attempt 1 out of
O

Sagot :

xero099

Answer:

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

Step-by-step explanation:

The composition consist: in replacing the independent variable ([tex]x[/tex]) of [tex]f(x)[/tex] by [tex]g(x)[/tex]:

[tex]f(x) = x^{2}-3\cdot x -12[/tex] (1)

[tex]g(x) = -x-12[/tex] (2)

[tex]f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12[/tex] (3)

[tex]f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12[/tex]

[tex]f\,\circ\,g(x) = x^{2} +27\cdot x +168[/tex]

[tex]f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168[/tex]

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

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.