Math Problem Statement

Given g, of, x, equals, minus, 5, x, minus, 5g(x)=−5x−5, find g, of, 1g(1).

Solution

Given the function g(x)=5x5g(x) = -5x - 5, we need to find g(1)g(1).

To do this, substitute x=1x = 1 into the function:

g(1)=5(1)5g(1) = -5(1) - 5

Simplify the expression:

g(1)=55=10g(1) = -5 - 5 = -10

So, g(1)=10g(1) = -10.

Would you like further explanation or have any questions? Here are some related questions you might find useful:

  1. How do you evaluate a function for a given value of xx?
  2. What is the general form of a linear function?
  3. How would you graph the function g(x)=5x5g(x) = -5x - 5?
  4. How do the slope and intercept of the function g(x)=5x5g(x) = -5x - 5 relate to its graph?
  5. What happens to g(x)g(x) as xx increases or decreases?

Tip: When evaluating a function, always substitute the value of xx directly into the function's equation and simplify.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Function Evaluation
Substitution

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9