Sofia used these steps to find the inverse of function f She made a mistake in step__(2,6,4,3,5)?

She should have_
.dived each side by 8 instead of multiplying
.replaced x with f(x)
.divided each side by 3 instead of multiplying
.added 4 to each side instead of subtract
.restricted the domain to x>0

Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.

The given function is .

It is required to calculate the inverse of the function.

So, the steps involved in finding the inverse of the function will be,

Step 1:

Write the given function as,

Step 2:

Change the function f(x) to y as,

Step 3:

Switch x and y as,

Step 4:

Multiply each side of the equation by 8 as,

Step 5:

Now, subtract 4 from each side of the equation as,

Step 6:

Now, it is required to divide each side by 3.

Step 7:

Now, replace y with as,

So, the required inverse function should be .

Therefore, Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.

For more details, refer to the link:

link

Step-by-step explanation:

Step 1             f(x) =                 Given

Step 2            y =                    Change f(x) to y

Step 3            x =                    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                               Divide by 3 on each side

Step 7                       Replace y by

Therefore, inverse of the function will be,

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

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step-by-step explanation:

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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