Let f(x)=x² and g(x)=x-1. Find (fog)(-5). (fog)(-5) = (Simplify your answer.)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**Problem Statement:**
Let \( f(x) = x^2 \) and \( g(x) = x - 1 \). Find \((f \circ g)(-5)\).
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To solve for \((f \circ g)(-5)\), follow these steps:
1. **Understand the notation** \((f \circ g)(x)\):
- This represents the composition of the functions \( f \) and \( g \), specifically \( f(g(x)) \).
2. **Evaluate \( g \) at \(-5\)**:
- \( g(-5) = -5 - 1 = -6 \).
3. **Now, evaluate \( f \) at the result of \( g(-5) \)**:
- \( f(-6) = (-6)^2 = 36 \).
---
Therefore, \((f \circ g)(-5) = 36\).
---
The final simplified answer is:
\[ (f \circ g)(-5) = 36 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb910418a-e376-48de-ad2c-cad9a3f8e771%2F0367442d-784e-49e7-b47a-901b72c5e892%2Ftrp0epc_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Let \( f(x) = x^2 \) and \( g(x) = x - 1 \). Find \((f \circ g)(-5)\).
---
To solve for \((f \circ g)(-5)\), follow these steps:
1. **Understand the notation** \((f \circ g)(x)\):
- This represents the composition of the functions \( f \) and \( g \), specifically \( f(g(x)) \).
2. **Evaluate \( g \) at \(-5\)**:
- \( g(-5) = -5 - 1 = -6 \).
3. **Now, evaluate \( f \) at the result of \( g(-5) \)**:
- \( f(-6) = (-6)^2 = 36 \).
---
Therefore, \((f \circ g)(-5) = 36\).
---
The final simplified answer is:
\[ (f \circ g)(-5) = 36 \]
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