If you horizontally compress the exponential function f(x) = 2x by a factor of 3, which of these is the equation of the new

a. f(x) = 6x
b. f(x) = 2(3x)
c. f(x) = 5x
d. f(x) = 3(2x)

Option: B is the correct answer.

    The equation of the new function is:

               B.f(x) = 2^{3x}

For a given function f(x) the transformed function:

g(x)=f(bx) gives a horizontal compression or stretch depending on b

if b>1 then the graph is compressed.

and if 0 < b <1 then the graph is stretched.

We are given a parent function f(x) as:

Here we have b=3

Hence, the equation of the new function will be:

Hence, the correct answer is :  Option: B

12.5 feet

step-by-step explanation: