Question
\( 1 \leftarrow \quad \) If \( f(x)=-4 x-3, g(x)=-5 x^{2}+5 x-2 \), and \( h(x)=6 x^{2}-8 \), find \( h(-1) \)
Ask by Bowen Schwartz. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( h(-1) = -2 \)
Solution
To find \( h(-1) \) for the function \( h(x) = 6x^2 - 8 \), follow these steps:
1. **Substitute \( x = -1 \) into the function:**
\[
h(-1) = 6(-1)^2 - 8
\]
2. **Calculate the exponent:**
\[
(-1)^2 = 1
\]
So,
\[
h(-1) = 6(1) - 8
\]
3. **Multiply and subtract:**
\[
h(-1) = 6 - 8 = -2
\]
**Answer:** \( h(-1) = -2 \)
Reviewed and approved by the UpStudy tutoring team
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Beyond the Answer
To find \( h(-1) \) when \( h(x) = 6x^2 - 8 \), substitute \( -1 \) in place of \( x \): \[ h(-1) = 6(-1)^2 - 8 \] Calculating \( (-1)^2 \) gives \( 1 \): \[ h(-1) = 6(1) - 8 = 6 - 8 = -2 \] Thus, \( h(-1) = -2 \).