Math Problem Statement

Given f(x)=3x+5

find f(3)=f(3)= 

Solution

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

To do this, substitute x=3x = 3 into the function:

f(3)=3(3)+5f(3) = 3(3) + 5

f(3)=9+5f(3) = 9 + 5

f(3)=14f(3) = 14

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

Would you like further details or have any questions?

Here are 5 related questions:

  1. What is f(2)f(-2) for the same function?
  2. How do you find the inverse of f(x)=3x+5f(x) = 3x + 5?
  3. If f(x)=3x+5f(x) = 3x + 5, what is f(a)f(a) in terms of aa?
  4. How do you graph the function f(x)=3x+5f(x) = 3x + 5?
  5. What is the slope and y-intercept of f(x)=3x+5f(x) = 3x + 5?

Tip: The slope-intercept form y=mx+by = mx + b is useful for quickly identifying the slope and y-intercept of a linear function.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = 3x + 5
Substitution: f(a) = 3a + 5

Theorems

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Suitable Grade Level

Grades 6-8