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

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

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

Let's calculate it step by step:

1. Calculate \( (1.5)^2 \):
   \[ (1.5)^2 = 2.25 \]

2. Calculate \( 2 \times 1.5 \):
   \[ 2 \times 1.5 = 3 \]

3. Combine these results:
   \[ g(1.5) = 2.25 + 3 - 2 \]

4. Simplify:
   \[ g(1.5) = 2.25 + 3 - 2 = 3.25 \]

So, the value of \( g(1.5) \) is \( 3.25 \).

Do you have any questions or would you like more details?

Here are some related questions for further exploration:

1. What is the derivative of \( g(x) = x^2 + 2x - 2 \)?
2. Find the value of \( g(x) \) when \( x = -1 \).
3. Determine the roots of the function \( g(x) = x^2 + 2x - 2 \).
4. What is the vertex of the parabola represented by \( g(x) = x^2 + 2x - 2 \)?
5. How does the function \( g(x) \) behave as \( x \) approaches infinity?
6. Calculate the integral of \( g(x) \) with respect to \( x \).
7. Find the second derivative of \( g(x) = x^2 + 2x - 2 \).
8. Determine the axis of symmetry for the function \( g(x) = x^2 + 2x - 2 \).

**Tip:** When solving polynomial functions, it's helpful to break down each step and simplify incrementally to avoid errors.

Learn how to calculate the value of the quadratic function g(x) = x² + 2x - 2 at x = 1.5. Follow a detailed step-by-step solution with calculations for each component of the function. Suitable for high school students and above.

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