Math Problem Statement

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

Solution

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

The function is:

g(x)=x+5g(x) = -x + 5

Substituting 6-6 for xx:

g(6)=(6)+5g(-6) = -(-6) + 5

Simplify the expression:

g(6)=6+5=11g(-6) = 6 + 5 = 11

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

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is g(0)g(0) for the same function g(x)=x+5g(x) = -x + 5?
  2. How would you find the value of g(3)g(3)?
  3. What does the graph of g(x)=x+5g(x) = -x + 5 look like?
  4. Can you determine the y-intercept of g(x)=x+5g(x) = -x + 5?
  5. How does the function g(x)=x+5g(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.

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Math Problem Analysis

Mathematical Concepts

Function evaluation
Substitution

Formulas

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Theorems

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Suitable Grade Level

High school