Given *g*(*x*) = 3*x*2 − *x* + 5, find the following.

(a)

*g*(0)

To find \( g(0) \) for the given function \( g(x) = 3x^2 - x + 5 \), substitute \( x = 0 \) into the equation:

\[
g(0) = 3(0)^2 - 0 + 5
\]

\[
g(0) = 0 + 0 + 5 = 5
\]

So, \( g(0) = 5 \).

Would you like more details or have any questions?

Here are five related questions for practice:
1. What is \( g(1) \) for the same function?
2. How do you find \( g(-2) \) for this function?
3. If \( g(x) = 0 \), what are the possible values of \( x \)?
4. What is the vertex of the quadratic function \( g(x) = 3x^2 - x + 5 \)?
5. How does the graph of \( g(x) = 3x^2 - x + 5 \) compare to the graph of \( f(x) = x^2 \)?

**Tip:** For quadratic functions, the leading coefficient determines how narrow or wide the parabola is.

Discover how to solve the quadratic function g(x) = 3x^2 − x + 5 by finding g(0). This tutorial walks you through the substitution method and explains key algebraic concepts. Perfect for students in Grades 8-10.

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