Question
\[ f(x) = 3x + 4 \quad g(x) = 2x - 3 \] \[ \text{Find: } f \circ g(x) \]
Ask by Mcfarlane Marsh. in Virgin Islands
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( f \circ g(x) = 6x - 5 \)
Solution
To compute the composition f ∘ g(x), substitute g(x) into f(x):
f(g(x)) = 3*(2x – 3) + 4
= 6x – 9 + 4
= 6x – 5
Thus, f ∘ g(x) = 6x – 5.
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Simplify this solution Mind Expander
To find \( f \circ g(x) \), we need to substitute \( g(x) \) into \( f(x) \). First, we calculate \( g(x) \): \[ g(x) = 2x - 3 \] Now, we substitute \( g(x) \) into \( f(x) \): \[ f(g(x)) = f(2x - 3) = 3(2x - 3) + 4 \] Now, let's simplify: \[ = 6x - 9 + 4 \] \[ = 6x - 5 \] So, \( f \circ g(x) = 6x - 5 \).
