find the function of g(x)=x²+2x-2 if x is 1.5

To find the value of \( g(x) \) when \( x = 1.5 \), we substitute \( x = 1.5 \) into the function \( g(x) = x^2 + 2x - 2 \):

\[ g(1.5) = (1.5)^2 + 2(1.5) - 2 \]

First, calculate \( (1.5)^2 \):
\[ (1.5)^2 = 2.25 \]

Next, calculate \( 2(1.5) \):
\[ 2(1.5) = 3 \]

Now, sum these results and subtract 2:
\[ g(1.5) = 2.25 + 3 - 2 \]
\[ g(1.5) = 3.25 \]

So, \( g(1.5) = 3.25 \).

Would you like more details or have any questions?

Here are some related questions for further exploration:

1. What is the derivative of \( g(x) = x^2 + 2x - 2 \)?
2. How would you find the roots

Learn how to evaluate the function g(x) = x^2 + 2x - 2 at x = 1.5 with a detailed step-by-step solution. This problem involves quadratic equations, arithmetic operations, and function evaluation. Suitable for students in Grades 7-9.

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