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Exercise

$f\left(x\right)=\frac{\left(x-4\right)}{\left(\sqrt{x}-2\right)}$

Step-by-step Solution

1

The difference of the squares of two terms, divided by the sum of the same terms, is equal to the difference of the terms. In other words: $\displaystyle\frac{a^2-b^2}{a+b}=a-b$.

$f\left(x\right)=\sqrt{x}+2$

Final answer to the exercise

$f\left(x\right)=\sqrt{x}+2$

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Main Topic: Special Quotients

Special quotients are those quotients that can be obtained directly or simply by inspection, without the need to perform the division operation or factorization.

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