# What is the inverse function of #y=2x-1#?

The inverse function is

Firstly, switch the x and the y:

Now, solve for y:

Add 1 to both sides:

And divide by 2:

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To find the inverse function of ( y = 2x - 1 ), we switch the roles of ( x ) and ( y ) and then solve for ( y ).

So, if ( y = 2x - 1 ), we first swap ( x ) and ( y ) to get: [ x = 2y - 1 ]

Next, solve this equation for ( y ): [ x = 2y - 1 ] [ x + 1 = 2y ] [ \frac{x + 1}{2} = y ]

Therefore, the inverse function is: [ f^{-1}(x) = \frac{x + 1}{2} ]

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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.

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