Math Problem Statement

Evaluate each function for the given value.

Evaluate each function for the given value.

Solution

Let's solve the problem:

We are given f(x)=4x+2f(x) = 4x + 2, and we need to find f(0)f(0).

Solution:

Substitute x=0x = 0 into the function f(x)f(x): f(0)=4(0)+2=0+2=2.f(0) = 4(0) + 2 = 0 + 2 = 2.

Final Answer:

f(0)=2.f(0) = 2.

Would you like further explanation or details?


Here are 5 related questions for further practice:

  1. What is f(1)f(1) for f(x)=4x+2f(x) = 4x + 2?
  2. If f(x)=4x+2f(x) = 4x + 2, find f(1)f(-1).
  3. Write a general rule for f(a)f(a) where aa is any number.
  4. What is the slope and y-intercept of f(x)=4x+2f(x) = 4x + 2?
  5. If g(x)=x24x+2g(x) = x^2 - 4x + 2, what is g(0)g(0)?

Tip: When substituting into a function, always simplify step-by-step to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations
Substitution

Formulas

f(x) = mx + b

Theorems

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Suitable Grade Level

Grades 6-8