Find the inverse of each function1. f(x) = 4/(x+2) - 22. f(x)= -2x^5 - 3

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asked Nov 25, 2023 45.2k views

1 Answer

Sjagr · Answer 1 · 2023-11-30T15:10:49+0000

We are given the following function:

$f\mleft(x\mright)=(4)/(x+2)-2$

we are asked to determine the inverse of this function. To do that we will first change the "f(x)" for "y":

Now we will switch "x" and "y", like this:

Now we solve for "y", first by adding 2 to both sides:

Now we multiply both sides by "y+2":

Now we divide both sides by "x+2":

Now we subtract 2 to both sides:

Now we change "y" for the inverse of f(x), that is:

And thus we found the inverse. A similar procedure can be used for function 2.