Find all functions f(x) that have the property that the tangent lines to the graphs of f(x)pass through the point (x+2,0).

Step-by-step explanation:

Given that the functions f(x) that have the property that the tangent lines to the graphs of f(x)pass through the point (x+2,0).

Let (x,y) be any arbitrary point of contract

The tangent line passes through two points (x,y) and (x+2,0)

Slope of tangent line = f'(x) = change in y/change in x=

i.e. we have

Separate the variables

Raise to power e

Thus the functions would have the above form for various values of A