How do you find the inverse of #H(x)=log x#?
We have that
(Assuming that the base of the logarithm is 10)
If the base of the logarithm is b then
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To find the inverse of H(x) = log(x), switch the roles of x and y and solve for y:
- Replace H(x) with y: x = log(y).
- Rewrite the equation in exponential form: y = 10^x.
- Therefore, the inverse function of H(x) = log(x) is H^(-1)(x) = 10^x.
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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.
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- How do you find the domain and range of the piecewise function #y = x^2 if x < 0#, #y = x + 2 if 0 ≤ x ≤ 3#, #y = 4 if x >3#?

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