Math Problem Statement

If f(x)=2x-5 then what is the value of f(2) + f(5)?

Solution

To find the value of f(2)+f(5)f(2) + f(5) for the given function f(x)=2x5f(x) = 2x - 5, we need to calculate both f(2)f(2) and f(5)f(5) individually.

  1. Calculate f(2)f(2): f(2)=2(2)5=45=1f(2) = 2(2) - 5 = 4 - 5 = -1

  2. Calculate f(5)f(5): f(5)=2(5)5=105=5f(5) = 2(5) - 5 = 10 - 5 = 5

  3. Now, add f(2)f(2) and f(5)f(5): f(2)+f(5)=1+5=4f(2) + f(5) = -1 + 5 = 4

Thus, the value of f(2)+f(5)f(2) + f(5) is 4.

Would you like further details or clarifications on this?

Here are 5 related questions to expand on this topic:

  1. What is f(3)+f(4)f(3) + f(4) for the same function f(x)=2x5f(x) = 2x - 5?
  2. How would the value of f(x)f(x) change if the function were f(x)=3x7f(x) = 3x - 7?
  3. Can you find the x-value when f(x)=0f(x) = 0 for f(x)=2x5f(x) = 2x - 5?
  4. What is the inverse of the function f(x)=2x5f(x) = 2x - 5?
  5. How do you determine whether a function like f(x)=2x5f(x) = 2x - 5 is increasing or decreasing?

Tip: When working with linear functions like f(x)=2x5f(x) = 2x - 5, the coefficient of xx determines the slope (steepness) of the line.

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Linear Functions

Formulas

f(x) = 2x - 5

Theorems

Function Evaluation

Suitable Grade Level

Grades 6-8