Sign in
Please select an account to continue using cracku.in
↓ →
What is the domain and the vertical asymptote (VA), respectively, of $$f(x) = \log_{5}(x-4)-4, x > 0$$?
For $$f(x) = \log_{5}(x-4)-4, x > 0$$ to be valid, (x-4) has to be greater than 0. Hence, x > 4
Now, the VA is a line that guides the graph (above which the graph is valid and below which it becomes invalid). Hence, it has to be the line x=4, as x>4 for the graph to be valid.
Was this solution helpful?
Book Free CAT Mentorship
Get personalized CAT strategy from a 99%iler
500+ students mentored
OTP Verification
Enter the 6-digit code sent to your phone
Booking Summary
Enter OTP
Didn't receive the OTP?
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation