Math Problem Statement

What is the value of g(-6) for the function g(x) = 15 - 8x?

Solution

The given function is g(x)=158xg(x) = 15 - 8x, and you are asked to find the value of g(6)g(-6).

We can do this by substituting x=6x = -6 into the function:

g(6)=158(6)g(-6) = 15 - 8(-6)

Now, calculate the result:

g(6)=15+48=63g(-6) = 15 + 48 = 63

So, the value of g(6)g(-6) is 63, which corresponds to option D.

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

Here are 5 related questions for further practice:

  1. What is g(2)g(2) for the function g(x)=158xg(x) = 15 - 8x?
  2. What is the slope of the function g(x)=158xg(x) = 15 - 8x?
  3. If g(x)=0g(x) = 0, what is the value of xx?
  4. How would you graph g(x)=158xg(x) = 15 - 8x?
  5. Can you find the inverse of the function g(x)=158xg(x) = 15 - 8x?

Tip: When dealing with linear functions like this, substituting values into the formula is straightforward, but always watch for negative signs!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

g(x) = 15 - 8x

Theorems

Substitution into linear equations

Suitable Grade Level

Grades 6-8