Question

Given

�
(
�
)
=
3
�
−
4
f(x)=3x−4​, find
�
−
1
(
�
)
f
−1
(x)​.
�
−
1
(
�
)
=
f
−1
(x)=

Answer 1

Step-by-step explanation:To find the inverse of the function f(x), we can follow these steps:

Replace f(x) with y:

y = 3x - 4

Swap x and y:

x = 3y - 4

Solve for y:

x + 4 = 3y

y = (x + 4)/3

Replace y with f^-1(x):

f^-1(x) = (x + 4)/3

Therefore, the inverse of the function f(x) is f^-1(x) = (x + 4)/3.

Note that to find f^-1(x), we swapped x and y in step 2, and solved for y in step 3. The resulting expression for y gives us the inverse function f^-1(x).