11th Grade Q1

Subtracting two functions is like finding the difference between their outputs at the same input. Here's how you do it: To subtract $g(x)$ from $f(x)$, you combine their expressions as:

Example

1. Start with the functions: Write the two functions you want to subtract. For example:

1. Set up the subtraction: Substitute the expressions for $f(x)$ and $g(x)$:

1. Simplify: Distribute the negative sign and combine like terms:

1. Interpret the result: The new function $f-g$ is the difference of the two original functions. You can now evaluate it for any $x$. For example, if $x=2$, then:

Summary

• Write the subtraction $(f-g)(x)=f(x)-g(x)$.
• Simplify the combined expression by distributing and combining like terms.
• Use the result to evaluate the function for any input.