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Kaylis [27]
2 years ago
6

What’s the inverse of the function F(x)=2x+1

Mathematics
2 answers:
antoniya [11.8K]2 years ago
7 0

Answer:

Step-by-step explanation:

1.  Replace F(x) with y.

2.  Interchange x and y in  y = 2x + 1:  x = 2y + 1

3.  Solve this result for y:  2y = x - 1, or y = (x - 1)/2

4.  Replace y with:

   -1

F     (x):

   -1             x - 1

F     (x) = -----------

                     2

Tomtit [17]2 years ago
3 0

Answer:

f-1(x) = (x - 1)/2.

Step-by-step explanation:

Let f(x) = y

y = 2x + 1

2x = y - 1

x = (y - 1)/2

Now replace x by the inverse of f(x) ( that is f-1(x) ) and y by x:

f-1(x) = (x - 1)/2.

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