Question
5) \( g(x)=x-1 \) \( f(x)=x+3 \) Find \( g(f(x)) \)
Ask by Matthews Deleon. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( g(f(x)) = x + 2 \)
Solution
To find g(f(x)), substitute f(x) into g(x). Since g(x) = x – 1, replacing x with f(x) gives:
g(f(x)) = f(x) – 1
Given f(x) = x + 3, substitute it in:
g(f(x)) = (x + 3) – 1 = x + 2
Thus, g(f(x)) = x + 2.
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Simplify this solution Bonus Knowledge
To find \( g(f(x)) \), we start by substituting \( f(x) \) into \( g(x) \). Since \( f(x) = x + 3 \), we can replace \( x \) in \( g(x) = x - 1 \) with \( f(x) \). So, we get: \[ g(f(x)) = g(x + 3) = (x + 3) - 1 = x + 2 \] Thus, \( g(f(x)) = x + 2 \).
