Combination of Function: Evaluation of Division

Example:

Evaluate (g/f)(-3) when g(x)=x^2-5 and f(x)=sqrt{x+3}

Solution:

Evaluate the function
Rewrite the expression
Replace x with -3 in each function	$(g/f)(-3)={(-3)^2-5}/{sqrt{-3+3}}$
Simplify	$(g/f)(-3)={(-3)^2-5}/{sqrt{-3+3}}$
Division by zero is undefined	is undefined

(g/f)(-3) is undefined.

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