What is the domain and range of $y=ln(2x-12)$ ?

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Answer 1 · 2017-11-07T23:51:28

$D_y= {x inRR:x>6}, R_y=RR$

On the real plane, we know that $lnu$ is only defined for $u>0$ . So letting $u=2x-12, ln(2x-12)$ is only defined for $2x-12>0 rArrx>6$ .

We also know that the range of any $lnu$ is always the real numbers.

$thereforeD_y= {x inRR:x>6}, R_y=RR$

What is the domain and range of y=ln(2x-12)y=ln(2x-12)?