Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the given function. f(x) = e2x-4 To determine the inverse of the given function, change f(x) to y, switch and y, and solve for

To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and

Step-by-step explanation:

Data provided in the question

f(x) = e^2x - 4

Now

to find the inverse let

So,

y = e^2x - 4

Now

Replace x and y

Therefore

x = e^2y - 4

Now compute the value of y

So,

x + 4 = e^2y

Now take ln on both sides:

The equation is

ln(x+4) = ln(e^2y)

ln(x+4) = 2y

y = ln(x+4) ÷ 2

Therefore,  To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and

(x+3)(x+7)

step-by-step explanation:

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.