Question 210152
find the inverse of y = x^2/10
:
Swap y and x, find y
{{{y^2/10}}} = x
Multiply both sides by 10
y^2 = 10x
:
y = +/-{{{sqrt(10x)}}}; not a function as you can see:
:
Original equation
{{{ graph( 300, 200, -6, 5, -10, 10, x^2/10) }}}
:
Inverse, fails the vertical line test
{{{ graph( 300, 200, -6, 5, -10, 10, sqrt(10x), -sqrt(10x)) }}}