For #f(x) =sqrt(x^2-4)/(x-2)#, what is the equation of the line tangent to #x =2#? Calculus Derivatives Tangent Line to a Curve 1 Answer Jim H Mar 18, 2016 There is no point on the graph at #x=2#, so there is no tangent line at #x=2#. Answer link Related questions How do you find the equation of a tangent line to a curve? How do you find the slope of the tangent line to a curve at a point? How do you find the tangent line to the curve #y=x^3-9x# at the point where #x=1#? How do you know if a line is tangent to a curve? How do you show a line is a tangent to a curve? How do you find the Tangent line to a curve by implicit differentiation? What is the slope of a line tangent to the curve #3y^2-2x^2=1#? How does tangent slope relate to the slope of a line? What is the slope of a horizontal tangent line? How do you find the slope of a tangent line using secant lines? See all questions in Tangent Line to a Curve Impact of this question 1152 views around the world You can reuse this answer Creative Commons License