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noname [10]
3 years ago
15

Sofia used these steps to find the inverse of function f

Mathematics
2 answers:
Vilka [71]3 years ago
8 0

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.

inessss [21]3 years ago
7 0

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:

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