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

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Answer 1 · 2018-06-07T22:06:22

Domain ${x|x>6}$ in interval notation $(6, oo)$

Range ${y|y " is " RR}$ in interval notation $(-oo, oo)$

$y = log(2x -12)$

input of the log functions must be greater than zero:

$2x-12>0$

$2x>12$

$x>6$

Domain ${x|x>6}$ in interval notation $(6, oo)$

As input numbers get closer and closer to 6 the function goes to $-oo$ and as input gets larger and larger the function goes to $oo$

Range ${y|y " is " RR}$ in interval notation $(-oo, oo)$

graph{log(2x -12) [-10, 10, -5, 5]}

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