Questions: Perform the indicated operation and express the result as a simplified complex number. If (y=x^3-2), evaluate (y) given (x=1).
Transcript text: Perform the indicated operation and express the result as a simplified complex number.
9. If $y=x^{3}-2$, evaluate $y$ given $x=1$.
Solution
Solution Steps
To solve this problem, we need to substitute the given value of \( x \) into the function \( y = x^3 - 2 \) and then simplify the expression to find \( y \).
Step 1: Substitute the Value of \( x \)
We start with the function \( y = x^3 - 2 \). Given \( x = 1 \), we substitute this value into the equation:
\[
y = 1^3 - 2
\]
Step 2: Calculate \( y \)
Now we perform the calculation:
\[
y = 1 - 2 = -1
\]
Final Answer
The value of \( y \) when \( x = 1 \) is \(\boxed{y = -1}\).