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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