Question

for the curve what is the equation of the tangent of the line of f(x) = root (x-5) when x=9

Answer 1

Have you tried drawing an x,y table to graph what root(x - 5) looks like?

Answer 2

no

Answer 3

(9,2) is the point. this will help us find the equation once we have the slope.
f'(x) = .5(x-5)^(-.5)
f'(9) = .25
now that you have the slope and a point. you can easily find the equation