Find the inverse function of f.

Question

Quizplus · Accepted Answer

To find the inverse function of f, we need to swap the variables x and y and then solve for y.
11ec1854_fde2_c7f4_acfc_29d12b74db45_TBX8702_00 becomes y=11ec1854_fde2_c7f4_acfc_29d12b74db45_TBX8702_00 where x=11ec1854_fde2_c7f4_acfc_29d12b74db45_TBX8702_00 is the input to the function f and y is the output. 
Now, we need to solve for x: 
y = (2x + 3)/(3x - 1) 
3xy - y = 2x + 3 
3xy - 2x = y + 3 
x(3y - 2) = y + 3 
x = (y + 3)/(3y - 2) 
Therefore, the inverse function of f is given by: 
f^-1(x) = (x + 3)/(3x - 2) 
Substituting x=11ec1854_fde2_c7f4_acfc_29d12b74db45_TBX8702_00 in f^-1(x) gives us D) 11ec1854_fde2_ef08_acfc_bfcfd1d1ed98_TBX8702_11.

Find the Inverse Function of F