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