Question

f(x)=2x^2-8x+10
find the inverse of f(x)

Answer 1

The fist step is to put the function equal to y and then interchange x and y. Can you do that?

Answer 2

so it becomes x=2y^2-8y+10

Answer 3

can you please tell me what to do next?

Answer 4

\[x=2y ^{2}-8y+10\]
When you solve the quadratic on the right hand side of the equation for x you get two corresponding y values. But for the function to have an inverse each x has to have a unique corresponding y value. Therefore the function cannot have an inverse.

Answer 5

oh ok thank you...

Answer 6

You're welcome :)