# Is y=sqrt(2x-5) a linear function and explain your reasoning?

Oct 5, 2017

No!

#### Explanation:

y=sqrt(2x-5 can be written as

${y}^{2} = 2 x - 5$

=y^2color(red)(-y^2)=2x-5color(red)(-y^2

$= 2 x - 5 - {y}^{2} = 0$, Whose degree (highest power of the variable) is 2 & is a quadratic function.
(Linear function will have degree 1)