Math Problem Statement

A function is shown: f(x) = 7 - 4x. What is the value of f(-5)?

Solution

The problem provided in the image is as follows:

A function is shown:
f(x)=74xf(x) = 7 - 4x

You are asked to find the value of f(5)f(-5).

Solution:

To find f(5)f(-5), substitute x=5x = -5 into the function f(x)=74xf(x) = 7 - 4x.

f(5)=74(5)f(-5) = 7 - 4(-5) f(5)=7+20f(-5) = 7 + 20 f(5)=27f(-5) = 27

So, the value of f(5)f(-5) is 27.

Would you like more details on the steps, or do you have any questions?

Here are 5 related questions to expand on this topic:

  1. What would f(x)=74xf(x) = 7 - 4x look like as a graph?
  2. How do you find the inverse of the function f(x)=74xf(x) = 7 - 4x?
  3. If f(x)=74xf(x) = 7 - 4x, what is f(2)f(2)?
  4. How would you solve for xx if f(x)=15f(x) = 15?
  5. What does the slope represent in the function f(x)=74xf(x) = 7 - 4x?

Tip: When substituting values into a function, always remember to apply the correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Substitution

Formulas

f(x) = 7 - 4x

Theorems

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Suitable Grade Level

Grades 6-8