Math Problem Statement

Given f, of, x, equals, minus, 5, x, plus, 2f(x)=−5x+2, find f, of, minus, 4f(−4).

Solution

To find f(4)f(-4) given the function f(x)=5x+2f(x) = -5x + 2, follow these steps:

  1. Substitute x=4x = -4 into the function f(x)f(x): f(4)=5(4)+2f(-4) = -5(-4) + 2

  2. Simplify the expression: f(4)=20+2=22f(-4) = 20 + 2 = 22

Thus, f(4)=22f(-4) = 22.

Would you like more details or have any other questions?

Here are 5 related questions to explore:

  1. What is the value of f(0)f(0) for the given function?
  2. How do you find the x-intercept of the function f(x)=5x+2f(x) = -5x + 2?
  3. What is the y-intercept of the function f(x)=5x+2f(x) = -5x + 2?
  4. How do you determine the slope of the function f(x)=5x+2f(x) = -5x + 2?
  5. What would be the value of f(x)f(x) if x=1x = 1?

Tip: Remember that the slope of a linear function indicates how much the function value changes with each unit increase in xx.

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Math Problem Analysis

Mathematical Concepts

Linear Functions

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12