SOLUTION: what is the inverse function of the function: y=2x^2+3x+1?
Algebra.Com
Question 700165: what is the inverse function of the function: y=2x^2+3x+1?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Complete the square to put the function into vertex form:
)
)
^2\ +\ 2\left(-\frac{9}{16}\ +\ \frac{1}{2}\right))
^2\ -\ \frac{1}{8})
Solve for 
in terms of 
^2)
^2)
^2)
Swap positions of the variables, but you have to choose between the positive or negative root, otherwise the inverse is not a function (you can't have more than one output for a given input of a function)
or
Which is to say:
\ =\ \frac{-3\ +\ \sqrt{8x\ +\ 1}}{4})
or
\ =\ \frac{-3\ -\ \sqrt{8x\ +\ 1}}{4})
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
The inverse function of y = 3x - 5 is... (answered by chosenpoint)
What is the inverse function of... (answered by tommyt3rd)
what is the inverse of the function y - 2 =... (answered by Boreal)
Find the inverse of each function. Is the inverse a function?
y=x^2-3... (answered by MathLover1,greenestamps)
The inverse function of y = 3x - 5... (answered by edjones)
what is the inverse of function y=... (answered by Fombitz,josh_jordan)
Find the inverse of the following function:... (answered by Boreal)
is the inverse of f(x)=2x^2-3x+4 a... (answered by solver91311)
what is the inverse function of y=3x^3-9 including... (answered by math_helper)
