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Find the function inverse ,f-1(x) , of y = 2x + 1.

1 Answer

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Answer:


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

Explanation:

It is called an inverse or reciprocal function of
f to another function
f^(-1) that fulfills that:

If
f(a)=b, then
f^(-1) (b)=a

To calculate the inverse of the function
y=2x+1


f(x)=y

So, rewritting the function


f(x)=2x+1

Changing the x for y


x=2y+1

Let's clear y


y=(x-1)/(2)

Ordering the function above


y=(x)/(2)-(1)/(2)

So, the inverse of the function
f(x)=2x+1 is:


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

.

User Harathi
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