Ineed with this problem. i do not know how to solve this one.
consider the functions: f(x) = square root 3(x-1), g(x) = x^3+1
now find each of the following if possible
(a) fog
(b) gof
(c) (fog)(0)

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.