Question
\( \leftarrow \quad \) If \( f(x)=-2 x-4, g(x)=2 x^{2}+4 x-5 \), and \( h(x)=-6 x^{2}+2 \), find \( g(0) \)
Ask by Vaughan Rodriguez. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( g(0) = -5 \)
Solution
To find \( g(0) \) given the function \( g(x) = 2x^{2} + 4x - 5 \), substitute \( x = 0 \) into the function:
\[
g(0) = 2(0)^{2} + 4(0) - 5
\]
Calculate each term:
\[
2(0)^{2} = 2 \times 0 = 0
\]
\[
4(0) = 0
\]
Now, add the results:
\[
g(0) = 0 + 0 - 5 = -5
\]
**Answer:** \(-5\)
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The Deep Dive
To find \( g(0) \), we substitute \( x = 0 \) into the function \( g(x) = 2x^2 + 4x - 5 \). So, \[ g(0) = 2(0)^2 + 4(0) - 5 = 0 + 0 - 5 = -5. \] Therefore, \( g(0) = -5 \).