Question
Let \( f(x)=-3 x-1, h(x)=-x+1 \) Find \( (f \circ h)(-7) \) \( (f \circ h)(-7)=\square \)
Ask by Moreno Pritchard. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( (f \circ h)(-7) = -25 \)
Solution
We are given:
f(x) = -3x - 1
h(x) = -x + 1
Step 1: Find h(-7):
h(-7) = -(-7) + 1 = 7 + 1 = 8
Step 2: Now, evaluate f(8):
f(8) = -3(8) - 1 = -24 - 1 = -25
Thus, (f ∘ h)(-7) = -25
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
First, we need to find the value of \( h(-7) \). Plugging \(-7\) into the function \( h(x) \): \[ h(-7) = -(-7) + 1 = 7 + 1 = 8 \] Now, we will use this result to find \( f(h(-7)) \), which is \( f(8) \): \[ f(8) = -3(8) - 1 = -24 - 1 = -25 \] Thus, we have: \[ (f \circ h)(-7) = f(h(-7)) = f(8) = -25 \] So, \( (f \circ h)(-7) = -25 \).
