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heatherlemaster
14.04.2020 •
Mathematics
What is the inverse of f(x)=e^x
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Ответ:
Step-by-step explanation:
An inverse function is any function that "undoes" another function. If we think of the function
as some kind of machine that takes in a number
as input and produces a number
as an output, when we give inverse function
the number
as in input, we get
, our original input, as the output ![f^{-1}(x)](/tpl/images/0597/8172/29b16.png)
We need a function that undoes
, and the natural choice for undoing an exponent is with a logarithm. Here, our base is
, so we'll choose
as our inverse function. Let's see how that works:
And we have our function.
Ответ:
Step 2: (x + 4)(x + 2) = 8
Step-by-step explanation:
x2 + 6x + 8 = 0
x2 + 4x + 2x + 8 = 0
x(x + 4) + 2(x + 4) = 0
(x + 2)(x + 4) = 0