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

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Answer 1 · 2017-10-05T09:59:39

No!

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

$y^2=2x-5$

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

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

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