f(x) = y = 3x/(8 + x) (I am assuming that the 8 + x is the denominator. Please use parentheses in the future if you forgot this. If there are no parentheses, then my solution will not work for you.)

Exchange x and y; that is, replace x by y and y by x simultaneously:

x = 3y/(8 + y).

Then use algebra to solve for y in terms of x:

(8 + y)x = 3y (multiply both sides by the denominator to clear the fraction)

8x + xy = 3y (distribute)

xy − 3y = −8x (rearrange terms with all y's on the left side of the equation)

y(x − 3) = −8x (factor out y as a common factor)

y = −8x/(x − 3) (divide by x − 3)

Finally, replace y by f-1(x):

f-1(x) = −8x/(x − 3).

This is the inverse of f(x). It can be checked by finding f(f-1(x)) and f-1(f(x)), and verifying that both equal x after simplifying.

6 0

3 years ago

HELP ASAP<br> Write a fraction that is equivalent to 3/4 . Use / for the fraction line.

Ira Lisetskai [31]

A fraction that is equivalent to 3/4 is 12/16, since 3/4 times 4/4 is 12/16. This makes it equal, since when you simply 12/16 it will give you 3/4.

5 0

3 years ago

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