Problem

Given the functions below, find $f(x)-g(x)$ \[ \begin{array}{l} f(x)=x^{2}+6 x-5 \\ g(x)=-x^{2}-3 x-1 \end{array} \] $f(x)-g(x)=9 x-4$ $f(x)-g(x)=2 x^{2}+3 x-6$ $f(x)-g(x)=2 x^{2}+9 x-4$ $f(x)-g(x)=3 x-6$

Solution

Step 1 :Given the functions \(f(x)=x^{2}+6 x-5\) and \(g(x)=-x^{2}-3 x-1\), we are asked to find \(f(x)-g(x)\).

Step 2 :To find this, we need to subtract \(g(x)\) from \(f(x)\). This involves subtracting each corresponding term in \(g(x)\) from \(f(x)\).

Step 3 :The difference between the two functions is calculated as \(f(x)-g(x)=2x^2 + 9x - 4\).

Step 4 :So, the final answer is \(f(x)-g(x)=\boxed{2x^2 + 9x - 4}\).

From Solvely APP
Source: https://solvelyapp.com/problems/7896/

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