Let f(x)=1/x, x 0, and g(x)= x+1x-2, x 2. Find a simplified expression, largest restricted domain an

Question

Let f(x)=1/x, x 0, and g(x)= x+1x-2, x 2. Find a simplified expression, largest restricted domain and range for fg. Explain why the simplified formula alone would give an incorrect domain.

Accepted Answer

$\dfrac{x-2}{x+1}$, $D=\mathbb R\setminus\{-1,2\}$, $R=\mathbb R\setminus\{0,1\}$.

Cancellation in a composite

Cancellation in a composite

Solution:

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