Math Problem Statement

Let f(x) = -3x + 4. Find f(0).

Solution

The given function is f(x)=3x+4f(x) = -3x + 4. To find f(0)f(0), we substitute x=0x = 0 into the function:

f(0)=3(0)+4=0+4=4f(0) = -3(0) + 4 = 0 + 4 = 4

Thus, f(0)=4f(0) = 4.

Would you like any further explanation?

Here are some related questions you might consider:

  1. What is f(1)f(1) for the same function f(x)=3x+4f(x) = -3x + 4?
  2. How do you find the value of f(x)f(x) for any given xx?
  3. Can you explain the slope of the linear function f(x)=3x+4f(x) = -3x + 4?
  4. How do you find the x-intercept of the function f(x)=3x+4f(x) = -3x + 4?
  5. How would you graph the function f(x)=3x+4f(x) = -3x + 4?

Tip: Whenever you see a function f(x)f(x), substituting values of xx directly into the function allows you to find the corresponding f(x)f(x).

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = mx + b
f(0) = -3(0) + 4

Theorems

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Suitable Grade Level

Grades 7-8