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

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.