Which of the following functions are the mirror images of each other with respect to the line y=x
A
ex and logex
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
ex and logxe
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
πx and logπx
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
πx and logxπ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Cπx and logπx We know that, graph of exponential function and logarithmic function are the mirror images of each other with respect to the line y=x if their bases are same. i.e., ax and logax
So, ex and logex are the mirror images of each other. πx and logπx are the mirror images of each other.
logxe=1logex
So, ex and 1logex are not the mirror images of each other.
Similarly, πx and logxπ are not the mirror images of each other.