Given the function f(x) = the quantity of 4x minus 2, divided by 3, which of the below expressions is correct
f−1(x) = the quantity of 2 minus 4x, divided by 3.
f−1(x) = the quantity of 3x minus 2, divided by 4.
f−1(x) = the quantity of negative 4x minus 2, divided by 3.
f−1(x) = the quantity of 3x plus 2, divided by 4.

f^-1(x) = The quantity of 3x plus 2, divided by 4.

Step-by-step explanation:

Given: f(x) = (4x -2)/3

Which is y = (4x - 2)/3

We have to find the inverse function f^-1 (x)

Replace x by y and y by x, we get

x = (4y - 2)/3

Now find the function y interms of x.

3x = 4y - 2

4y = 3x + 2

y = (3x + 2)/4

f^-1(x) = The quantity of 3x + 2, divided by 4.

Answer is D) f^-1(x) = The quantity of 3x plus 2, divided by 4.

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Thank you.

Step-by-step explanation:

Given,

f(x) = The quantity of 4x minus 2, divided by 3,

-----(1)

Since, represents the inverse of f(x),

Also, for finding the inverse of a function f(x) we follow the following steps,

Step 1 : Replace f(x) by y,

Step 2 : Interchange x and y,

Step 3 : Isolate y in the left side of the equation,

Step 4 : Replace y by

Now, from equation (1),

By interchanging x and y,

By replacing y by

Every 15 degrees along the line of longitude is equivalent to a time difference of 1 hour.

Given that it is 10:00 am at your location when it is noon along the prime meridian, this means that you are 2 hours behind the prime meridian.

The prime meridian is 0 degrees and you are 2 x 15 = 30 degrees west of the prime meridian.

Therefore, your longitude is 30 degrees west.