Question
Question 15 of 20 If \( f(x)=4 x-3 \) and \( g(x)=x+4 \), find \( (f-g)(x) \)
Ask by Schneider Mcdonald. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\((f - g)(x) = 3x - 7\)
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Reviewed and approved by the UpStudy tutoring team
Like
Beyond the Answer
To find \( (f-g)(x) \), we first need to calculate \( f(x) - g(x) \). Given \( f(x) = 4x - 3 \) and \( g(x) = x + 4 \), we have: \[ (f-g)(x) = f(x) - g(x) \] Substituting the expressions for \( f(x) \) and \( g(x) \): \[ (f-g)(x) = (4x - 3) - (x + 4) \] Now, simplify this expression: \[ (f-g)(x) = 4x - 3 - x - 4 \] Combine like terms: \[ (f-g)(x) = (4x - x) + (-3 - 4) \] \[ (f-g)(x) = 3x - 7 \] Thus, \( (f-g)(x) = 3x - 7 \).
