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  • 10-06-2021
  • Mathematics
contestada

f (x) = (3x - 2). find f^-1f (10)

f x 3x 2 find f1f 10 class=

Respuesta :

msm555
msm555 msm555
  • 10-06-2021

f-¹f(10)=10

Answer:

Solution given:

f(x)=3x-2

let

y=3x-2

interchanging role of x and y

x=3y-2

y=[tex]\frac{x+2}{3}[/tex]

so

f-¹(x)=[tex]\frac{x+2}{3}[/tex]

now

f(10)=3*10-2=28

now

f-¹f(10)=f-¹(28)=[tex]\frac{28+2}{3}[/tex]=10

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