Question
Let the function $f$ be defined by the equation $y=f(x)$ where $x$ and $f(x)$ are real numbers. Find the domain of each function.$$f(x)=\sqrt{x^{2}-1}$$
Step 1
The square root function is only defined for non-negative numbers. Therefore, the expression inside the square root, $x^{2}-1$, must be greater than or equal to zero. We can write this as an inequality: $$x^{2}-1 \geq 0$$ Show more…
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