Find the domain of

f left parenthesis x right parenthesis equals 4 times 2 Superscript xf(x)=4•2x.

Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.

A.

StartSet x|x less than nothing EndSetx|x<

B.

StartSet x|x not equals nothing EndSetx|x≠

(Use a comma to separate answers as needed.)

C.

StartSet x|x equals nothing EndSetx|x=

(Use a comma to separate answers as needed.)

D.

StartSet x|x greater than nothing EndSetx|x>

E.

All real numbers

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

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.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!