Question
\[ f(x) = 3x + 4 \quad g(x) = 2x - 3 \] \[ \text{Find: } f \circ g(x) \]
Ask by Ramirez Ramirez. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( f \circ g(x) = 6x - 5 \)
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
To find \( f \circ g(x) \), we need to evaluate \( f(g(x)) \). First, we need to substitute \( g(x) = 2x - 3 \) into the function \( f(x) \). Starting with \( f(x) = 3x + 4 \): 1. Replace \( x \) in \( f \) with \( g(x) \): \[ f(g(x)) = f(2x - 3) = 3(2x - 3) + 4 \] 2. Now, simplify this expression: \[ = 3(2x) - 3(3) + 4 \] \[ = 6x - 9 + 4 \] \[ = 6x - 5 \] Thus, the result for \( f \circ g(x) \) is: \[ f \circ g(x) = 6x - 5 \]