Knight Elliott
01/31/2023 · Primary School
Given that \( f(x)=2 x+4 \) and \( h(x)=x^{3} \), find \( (h \circ f)(2) \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find \( (h \circ f)(2) \), we first need to evaluate \( f(2) \) and then use that result to evaluate \( h(f(2)) \).
1. **Calculate \( f(2) \)**:
\[
f(x) = 2x + 4
\]
Substituting \( x = 2 \):
\[
f(2) = 2(2) + 4 = 4 + 4 = 8
\]
2. **Now calculate \( h(f(2)) = h(8) \)**:
\[
h(x) = x^3
\]
Substituting \( x = 8 \):
\[
h(8) = 8^3 = 512
\]
Thus, \( (h \circ f)(2) = h(f(2)) = h(8) = 512 \).
The final answer is:
\[
\boxed{512}
\]
Quick Answer
\( (h \circ f)(2) = 512 \)
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