Question

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

Answer 1

I hope this helps you

Answer 2

Answer:

2

Step-by-step explanation:

Here, the given function is,

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

$\implies f(x)=\frac{4x+1}{3}$

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

Step 1  : Replace f(x) by y,

$y=\frac{4x+1}{3}$

Step 2 : Switch x and y,

$x=\frac{4y+1}{3}$

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

$3x=4y+1$

$-4y=1-3x$

$y=\frac{1-3x}{-4}$

$y=\frac{3x-1}{4}$

Step 4 : Replace y by $f^{-1}(x)$,

$f^{-1}(x)=\frac{3x-1}{4}$

For x = 3,

$f^{-1}(3)=\frac{3\times 3-1}{4}=\frac{9-1}{4}=\frac{8}{4}=2$

Hence, First option is correct.