College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 82E
Related questions
Question
![**Composite Functions**
Use the pair of functions to find \(f(g(x))\) and \(g(f(x))\). Simplify your answers.
Given:
\[ f(x) = \sqrt{x + 6} \quad \text{and} \quad g(x) = x^2 + 3 \]
1. \( f(g(x)) = \)
\[ \boxed{ } \]
2. \( g(f(x)) = \)
\[ \boxed{ } \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22396abd-1dcc-4b0d-9124-fd12e74a7cb7%2F688d13dc-68e7-4274-841f-743d01b9fa11%2Fsvpvmzm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Composite Functions**
Use the pair of functions to find \(f(g(x))\) and \(g(f(x))\). Simplify your answers.
Given:
\[ f(x) = \sqrt{x + 6} \quad \text{and} \quad g(x) = x^2 + 3 \]
1. \( f(g(x)) = \)
\[ \boxed{ } \]
2. \( g(f(x)) = \)
\[ \boxed{ } \]
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