Question

Question

For the function f(x)
Answer Attempt 1 out of 8
f-¹(x) =
10-2
2x
7
find f-¹(x).

Answer 1

`f^(-1)(x) = ( 10)/(2x + 1)`

Step-by-step explanation:

f(x) = (10-x)/2x

Let f(x) be y

y = (10-x)/2x

Then make x the subject,

y = (10-x)/2x

2xy = 10 - x

2xy + x = 10

x(2y + 1) = 10

x = 10/(2y + 1)

Now replace y with x,

So,
`f^(-1)(x) = ( 10)/((2x + 1))`