How do you find the domain and range of $f(x)= log(x-2)$ ?

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Answer 1 · 2018-01-06T13:47:40

The domain of a function includes all possible $x$ values of a function, and the range includes all possible $y$ values of a function.

Domain: $(2,oo){x|x>2}$ since $log$ is undefined for $0$ or negative values
Range: $(-oo,oo){y|yinRR}$

This can be verified with a graph:
graph{log(x-2)}

How do you find the domain and range of f(x)= log(x-2)f(x)= log(x-2)?