Question

Select the correct answer from each drop-down menu.

Answer 1

Answer:

• Step 3.
• not switch the variables.

Step-by-step explanation:

Tom wanted to find the inverse of f(x)= 4x - 2 using the steps in the attached image.

Tom's first mistake was in Step 3.

To correct the mistake, he should not switch the variables.

The correct procedure is:

Step 1 : Given

f(x) = 4x - 2

Step 2 : Change f(x) to y

y = 4x - 2

Step 3 : Add 2 to both sides

$4x=y+ 2$

Step 4:  Divide each side by 4

$x=\dfrac{y+2}{4}$

Step 5: Change x to $f^{-1}(x)$

$f^{-1}(x)=\dfrac{y+2}{4}$