Math Problem Statement

Given f(x)=3x+5f(x)=3x+5 find f(3)=f(3)=

Solution

Given the function f(x)=3x+5f(x) = 3x + 5, you need to find f(3)f(3).

  1. Substitute x=3x = 3 into the function: f(3)=3(3)+5f(3) = 3(3) + 5

  2. Simplify: f(3)=9+5=14f(3) = 9 + 5 = 14

Thus, f(3)=14f(3) = 14.

Would you like any further details on this solution?

Here are five related questions for further exploration:

  1. What is f(0)f(0) for the function f(x)=3x+5f(x) = 3x + 5?
  2. How do you find the inverse of the function f(x)=3x+5f(x) = 3x + 5?
  3. What is the slope of the function f(x)=3x+5f(x) = 3x + 5?
  4. How does the function change if the constant 5 is replaced with another constant?
  5. Can you find f(a+b)f(a + b) for arbitrary values aa and bb?

Tip: Always check the value of the function by substituting directly to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = 3x + 5

Theorems

Substitution Method

Suitable Grade Level

Grades 6-8