Question

Select the correct answer.

What is the Inverse of function ?
or + 11
o
OA. 1-16x) = for + 11
B. 1-11)
OC 7-1(1) = 10r 110
OD. 1-11) = 9: 199
91 + 11
10
Reset

Answer 1

D. inverse of f(x) =
`(9x - 99)/(10)`

Explanation:

I. Given f(x) = y

y =
`(10)/(9x) + 11`

II. Switch x to y and y to x

x =
`(10)/(9y) + 11`

x - 11 = 10/9y

`(x - 11)/((10)/(9) )` = y

x - 11 (
`(9)/(10)`) = y

[(x - 11)9] / 10 = y

(9x - 99) /10 = y

So y or f(x inverse) =
`(9x - 99)/(10)`

Hope that help :)

Answer 2

Explanation:

let f(x) be y

∴ y = 10x/9 +11

(y - 11 )× 9/ 10 = x

Interchange x->y and y->x

(x - 11)×9/10 = y

here y is your f⁻¹(x)

∴ f⁻¹(x) = (x - 11 )× 9/10

or, f⁻¹(x) = 9x/10 - 99/10

Option (D) is correct