Consider the following functions.Sx) = x + 4 and g(x) = x - 7Step 4 of 4: Find(3)).x). Simplify your answerAnswerKeyboards(2)) =Submit Ang

Given:
[tex]f(x)=x+4\text{ and }g(x)=x-7[/tex]Required:
[tex]\text{We need to find }(\frac{f}{g})(x).[/tex]Explanation:
[tex]\text{We know that }(\frac{f}{g})(x)=\frac{f(x)}{g(x)}.[/tex][tex]Substitute\text{ }f(x)=x+4\text{ and }g(x)=x-7\text{ in the equation.}[/tex][tex](\frac{f}{g})(x)=\frac{x+4}{x-7}[/tex]Final answer:
[tex](\frac{f}{g})(x)=\frac{x+4}{x-7}[/tex]