Math Problem Statement

Given f ( x )

2 x + 3 f(x)=2x+3, find f ( 4 ) f(4)

Solution

Given the function f(x)=2x+3f(x) = 2x + 3, we need to find f(4)f(4).

To do this, substitute x=4x = 4 into the function:

f(4)=2(4)+3=8+3=11f(4) = 2(4) + 3 = 8 + 3 = 11

Thus, f(4)=11f(4) = 11.

Would you like a more detailed explanation, or do you have any questions?

Here are 5 related questions for further exploration:

  1. What is f(0)f(0) for the function f(x)=2x+3f(x) = 2x + 3?
  2. How would you find f(x)f(x) if the function was f(x)=3x+1f(x) = 3x + 1?
  3. What is the slope of the line represented by f(x)=2x+3f(x) = 2x + 3?
  4. What is the y-intercept of the function f(x)=2x+3f(x) = 2x + 3?
  5. How do you find the inverse of the function f(x)=2x+3f(x) = 2x + 3?

Tip: In linear functions like f(x)=2x+3f(x) = 2x + 3, the coefficient of xx represents the slope, and the constant term represents the y-intercept.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

Linear function formula f(x) = mx + b

Theorems

-

Suitable Grade Level

Grades 6-8