Answer:
[tex]4x^2+6x-6[/tex]Explanation:
Given f(x) and g(x) defined below:
[tex]\begin{gathered} f\mleft(x\mright)=x^2+2x-5 \\ g\mleft(x\mright)=-3x^2-4x+1 \end{gathered}[/tex]We then have:
[tex]f(x)-g(x)=(x^2+2x-5)-(-3x^2-4x+1)[/tex]We simplify the result.
[tex]\begin{gathered} =x^2+2x-5+3x^2+4x-1 \\ \text{Collect like terms} \\ =x^2+3x^2+2x+4x-5-1 \\ =4x^2+6x-6 \end{gathered}[/tex]Thus:
[tex]f(x)-g(x)=4x^2+6x-6[/tex]