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.

Hope this will helpful.

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

each side has a different length.  

step-by-step explanation:

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐