let f(x)=x²-x-3 and g(x)=5x-2 find the following (f=g)(-1)?

To find \((f = g)(-1)\), we need to substitute \(x = -1\) into both functions \(f(x)\) and \(g(x)\), and then check if they are equal.

Given:
\[
f(x) = x^2 - x - 3
\]
\[
g(x) = 5x - 2
\]

First, calculate \(f(-1)\):
\[
f(-1) = (-1)^2 - (-1) - 3
\]
\[
f(-1) = 1 + 1 - 3 = -1
\]

Next, calculate \(g(-1)\):
\[
g(-1) = 5(-1) - 2
\]
\[
g(-1) = -5 - 2 = -7
\]

Since \(f(-1) = -1\) and \(g(-1) = -7\), \((f = g)(-1)\) is not satisfied, meaning \(f(-1) \neq g(-1)\).

Would you like further details or have any questions?

Here are 5 related questions:
1. What happens graphically when \(f(x) \neq g(x)\) at a particular point?
2. How can you find the intersection points of \(f(x)\) and \(g(x)\) algebraically?
3. How do you determine if two functions are equal for all values of \(x\)?
4. What is the importance of evaluating functions at specific points?
5. How can you check the equality of two functions for a given value of \(x\)?

**Tip:** Always substitute the value of \(x\) into both functions carefully to ensure accuracy when comparing their results.

Explore how to compare and evaluate functions f(x)=x²-x-3 and g(x)=5x-2. Learn the process of substituting values into functions and determining their equality or inequality. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation