Given g, of, x, equals, minus, 5, x, plus, 2*g*(*x*)=−5*x*+2, find g, of, minus, 4*g*(−4).

Given the function \( g(x) = -5x + 2 \), we need to find \( g(-4) \).

To do this, substitute \(-4\) for \(x\) in the function:

\[
g(-4) = -5(-4) + 2
\]

Now, calculate step by step:

1. Calculate \(-5 \times -4\):

\[
-5 \times -4 = 20
\]

2. Add 2 to the result:

\[
20 + 2 = 22
\]

Therefore, \( g(-4) = 22 \).

Would you like more details, or do you have any questions?

Here are 5 related questions you might find interesting:
1. What is the general form of a linear function?
2. How do you evaluate a function for a given input?
3. How does the graph of \( g(x) = -5x + 2 \) look like?
4. What does the slope represent in a linear function?
5. How do you find the x-intercept and y-intercept of a linear function?

**Tip:** When substituting a value into a function, carefully follow the order of operations: perform multiplication and division first, then addition and subtraction.

Learn how to find g(-4) for the linear function g(x) = -5x + 2. Step-by-step solution provided, including substitution and calculation process. Suitable for Grades 7-9.

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