Find point c between [2,9] where, the slope of tangent to the function f(x)=1+\(\sqrt[3]{x-1}\) at point c is equals to the slope of a line joining point (2,f(2)) and (9,f(9)).(Providing given function is continuous and differentiable in given interval).

• A. -2.54
• B. 4.56
• C. 4.0
• D. 4.9