[tex]\begin{gathered} f(x)=2x-3 \\ g(x)=6x^2-7x-3 \end{gathered}[/tex]
To subtract g(x) from f(x), we simply have to plug in the given values of the function written above.
[tex]\begin{gathered} =f(x)-g(x) \\ =(2x-3)-(6x^2-7x-3) \end{gathered}[/tex]
Then, solve.
First, eliminate the parenthesis by distributing the symbol/number outside of it to the numbers inside the parenthesis.
[tex]=2x-3-6x^2+7x+3[/tex]
Next, combine similar terms. We have 2x + 7x and -3 + 3.
[tex]=9x-6x^2[/tex]
Lastly, arrange the terms according to highest degree (highest exponent).
[tex]=-6x^2+9x[/tex]
Hence, f(x) - g(x) = -6x² + 9x.
