If g(x) = 4x - 4^x, what is the value of g(3/2)?

g(x) = 4x - 4^x

so

g(3/2) = 4(3/2) - 4^3/2

g(3/2) = 6 - 32

4^3/2 = -26

s

step-by-step explanation:

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.