Answer
Red: $f(x)=6^x$
Blue: $g(x)=\log_6x$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/3bae60ed-1d7b-4dee-ac75-a7199dacd8f7/result_image/1562514243.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T020545Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=8f45ccfd9da9cfd04b275cd88eb358a0d4d0b1fdb77c0c9e0067ff0a3d42a76a)
Work Step by Step
$g$ is the inverse function of $f$. Notice that, $f$ and $g$ are symmetric about $y=x$ (black).
![](https://gradesaver.s3.amazonaws.com/uploads/solution/3bae60ed-1d7b-4dee-ac75-a7199dacd8f7/steps_image/small_1562514243.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T020545Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=65466c636c210c15107b2436394d06429f2cd4ac7809c584ecdd18878f6d4091)
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