Question

Help:
Find the inverse of the function. Is the inverse a function?
y = (3x-4)^2
and
y = (1-2x)^2 + 5

Answer 1

solve for x :

sqrt(y) = 3x-4
sqrt(y) + 4 = 3x
x = (sqrt(y) + 4) /3
so the inverse :

y = (sqrt(x) + 4) / 3

Answer 2

just make sure : y = (+/-sqrt(x) + 4) / 3

so it is not a function!

Answer 3

the other one:
y-5=(1-2x)^2
sqrt(y-5)=1-2x
2x=1-sqrt(y-5)
x=(1/2)(1-sqrt(y-5))
so to write inverse of the second function switch x for y:
y=(1/2)(1-sqrt(x-5))

Answer 4

Thank you very much!:)