A B C D E F SolutionY lnx pi4 Log cant take 0 or negative v

Solution

Y= ln(x - pi/4)

Log cant take 0 or negative value. Therefore

x- pi/4 >0

x>pi/4

Hence the domain is (pi/4,infinity)

To find the range we have to find the inverse first

Y=ln(x-pi/4)

Switching x and y and solving for y

x= ln(y-pi/4)

y-pi/4 = e^x

y= e^x+pi/4

Domain of this function is the range of the original function which is (-infinity,infinity)

Correct option is A