jaidynheather
contestada

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

Select the correct answer What is the Inverse of function or 11 o OA 116x for 11 B 111 OC 711 10r 110 OD 111 9 199 91 11 10 Reset class=

Respuesta :

Step-by-step 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

hhelsinki

Answer:

D. inverse of f(x) = [tex]\frac{9x - 99}{10}[/tex]

Step-by-step explanation:

I. Given f(x) = y

  y = [tex]\frac{10}{9x} + 11[/tex]

II. Switch x to y and y to x

  x = [tex]\frac{10}{9y} + 11[/tex]

   x - 11 = 10/9y

   [tex]\frac{x - 11}{\frac{10}{9} }[/tex] = y

   x - 11 ([tex]\frac{9}{10}[/tex]) = y

   [(x - 11)9] / 10 = y

   (9x - 99) /10 = y

So y or f(x inverse) = [tex]\frac{9x - 99}{10}[/tex]

Hope that help :)