How do you find the inverse of #f(x)=log_3(x-4)-2#?
To find the inverse of (f(x) = \log_3(x-4) - 2), follow these steps:
-
Swap (x) and (y): (x = \log_3(y-4) - 2).
-
Solve for (y):
a. Isolate the logarithm: (x + 2 = \log_3(y-4)).
b. Convert to exponential form: (3^{x+2} = y-4).
c. Solve for (y): (y = 3^{x+2} + 4).
Therefore, the inverse function is (f^{-1}(x) = 3^{x+2} + 4).
By signing up, you agree to our Terms of Service and Privacy Policy
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7