Question

Sofia used these steps to find the inverse of function f

Answer 1

Answer:

Step-by-step explanation:

Step 1             f(x) = $\frac{3x+4}{8}$                 Given

Step 2            y = $\frac{3x+4}{8}$                    Change f(x) to y

Step 3            x = $\frac{3y+4}{8}$                    Switch x and y

Step 4            8x = 3y + 4              multiply each side by 8

Step 5            8x - 4 = 3y               Subtract 4 from each side

Step 6            $\frac{8x-4}{3}=y$                   Divide by 3 on each side

Step 7            $\frac{8x-4}{3}=f^{-1}(x)$           Replace y by $f^{-1}(x)$

Therefore, inverse of the function will be,

$\frac{8x-4}{3}=f^{-1}(x)$

Sofia made a mistake in step 6. She should have divided both the sides by 3 instead of multiplying each side by 3.

Answer 2

Answer: For Plato users

Sofia made a mistake in Step 6 . She should have divided each side by 3 instead of multiply

Step-by-step explanation: