calculus for life science

Question

Find the slope and the equation of the line tangent to  

f(x)=2x−1x+9  at x​ = 1.

The slope of the line tangent to​ f(x) at x​ = 1  

is

enter your response here.

Answer the following in​ slope-intercept form. ​ (y = mx​ + b)

The equation of the tangent line is y​ = enter your response here

Answer 1

if my chance you meant

f(x) = x^2 -x +9

then

f(1) = 1-1+9 =9

f'(x) =2x-1

f'(1) = 1

y =3x +b

9 =3 +b

b =6

y =x +6 is the equation of the tangent line at x= 1, the point (1,9)