Question
\( f(x)=x^{2}+4 x-2, x=4 \) \( f(4)=\square \) (Sirmplify your answer.)
Ask by Frazier Johnston. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( f(4) = 30 \)
Solution
Substitute \( x=4 \) into the expression \( x^{2}+4x-2 \).
Evaluate the expression by following steps:
- step0: Evaluate:
\(x^{2}+4x-2\)
- step1: Substitute:
\(4^{2}+4\times 4-2\)
- step2: Multiply the numbers:
\(4^{2}+16-2\)
- step3: Evaluate the power:
\(16+16-2\)
- step4: Calculate:
\(30\)
The value of \( f(4) \) is 30.
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Simplify this solution The Deep Dive
To find \( f(4) \), we substitute \( x = 4 \) into the function: \[ f(4) = 4^2 + 4(4) - 2 \] Calculating this step-by-step: 1. \( 4^2 = 16 \) 2. \( 4(4) = 16 \) 3. Now, substitute these values back: \[ f(4) = 16 + 16 - 2 \] 4. Finally, simplify: \[ f(4) = 32 - 2 = 30 \] So, \( f(4) = 30 \).
