Question

Given f(x) = the quantity of 4x plus 1, divided by 3, solve for f−1(3).

2
4
6
8

Answer 1

I hope this helps you

Answer 2

2

Explanation:

Here, the given function is,

f(x) = The quantity of 4x plus 1, divided by 3

`\implies f(x)=(4x+1)/(3)`

The steps that involve in finding the inverse of f(x) are as follows,

Step 1 : Replace f(x) by y,

`y=(4x+1)/(3)`

Step 2 : Switch x and y,

`x=(4y+1)/(3)`

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

`3x=4y+1`

`-4y=1-3x`

`y=(1-3x)/(-4)`

`y=(3x-1)/(4)`

Step 4 : Replace y by
`f^(-1)(x)`,

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

For x = 3,

`f^(-1)(3)=(3* 3-1)/(4)=(9-1)/(4)=(8)/(4)=2`

Hence, First option is correct.