Answer:[tex]g(x)=-\tan (x-\frac{\pi}{4})-4[/tex]Explanation:
The given function is:
[tex]g(x)=\tan (x-\frac{\pi}{4})[/tex]
The function g(x) is first reflected across the x-axis
That is, the function g(x) will be negated to become:
[tex]g(x)=-\tan (x-\frac{\pi}{4})[/tex]
The second step is to translate the resulting function down by 4 units
The resulting function after translation by 4 units downwards is:
[tex]g(x)=-\tan (x-\frac{\pi}{4})-4[/tex]
