# How do you find the inverse of #y = 2x^2 - 3x +1# and is it a function?

By signing up, you agree to our Terms of Service and Privacy Policy

To find the inverse of the function ( y = 2x^2 - 3x + 1 ), follow these steps:

- Replace ( y ) with ( x ) and ( x ) with ( y ): ( x = 2y^2 - 3y + 1 ).
- Rearrange the equation to solve for ( y ).
- Use the quadratic formula if necessary to solve for ( y ).
- Swap ( x ) and ( y ) in the resulting expression to obtain the inverse function.

Regarding whether the inverse is a function, the inverse of a function is itself a function if each input value corresponds to exactly one output value. To determine if the inverse is a function, you can perform the vertical line test on the original function and its inverse. If both pass the vertical line test, then the inverse is a function. If either fails the test, the inverse is not a function.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- How do you determine if #f(x)= 1+ sinx# is an even or odd function?
- How do you determine if #y=sin x# is an even or odd function?
- How do you identify all asymptotes or holes and intercepts for #f(x)=x/(3x^2+5x)#?
- How do you find the compositions given #f(x)=7x+4# and #g(x)=x-7#?
- How do you find the vertical, horizontal and slant asymptotes of #b(x)= (x^3-x+1)/(2x^4+x^3-x^2-1)#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7