Given g, of, x, equals, minus, x, plus, 5*g*(*x*)=−*x*+5, find g, of, minus, 6*g*(−6).

To find \( g(-6) \) given the function \( g(x) = -x + 5 \), we need to substitute \(-6\) for \( x \) in the function.

The function is:

\[
g(x) = -x + 5
\]

Substituting \(-6\) for \( x \):

\[
g(-6) = -(-6) + 5
\]

Simplify the expression:

\[
g(-6) = 6 + 5 = 11
\]

So, \( g(-6) = 11 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is \( g(0) \) for the same function \( g(x) = -x + 5 \)?
2. How would you find the value of \( g(3) \)?
3. What does the graph of \( g(x) = -x + 5 \) look like?
4. Can you determine the y-intercept of \( g(x) = -x + 5 \)?
5. How does the function \( g(x) = -x + 5 \) change if the constant 5 is replaced by 2?

**Tip:** Always double-check the signs when substituting values into functions to avoid mistakes in calculations.

Learn how to evaluate the function g(x) = -x + 5 at x = -6 step-by-step. Understand the process of substituting values into a function and simplifying the expression. Suitable for high school students studying function evaluation and substitution.

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