Question

What is the inverse of f(x)=4x+3 ?

Answer 1

Steps:

Here are the steps to convert an equation to its inverse:

1. Change f(x) to y
2. Switch the positions of x and y
3. Solve for y
4. Change y to f^-1(x)

Firstly, do the first two steps:

$x=4y+3$

Next, let's solve for y. Subtract 3 on both sides:

$x-3=4y$

Next, divide both sides by 4:

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

Answer:

Finally, change y to f^-1(x) and your final answer will be:

$f^{-1}(x)=\frac{1}{4}x-\frac{3}{4}$ , or the second option.