Question

F(x) = roots 3x + 7

if f^-1 (x) is the invers of f(x), then determine the result of f^-1(2)!​

Answer 1

`f(x) = √(3x) + 7 \\ \\ f ^( - 1) (x) = ( √(3x) + 7) ^( - 1) \\ \\ f ^( - 1) (x) = (1)/( √(3x) + 7) \\ \\ \\ f ^( - 1) (2) = (1)/( √(3(2)) + 7) \\ \\f ^( - 1) (2) = (1)/( √(6) + 7) \\ \\ f ^( - 1) (2) = (1)/( √(6) + 7) * ( √(6) - 7 )/( √(6) - 7 ) \\ \\ f ^( - 1) (2) = ( √(6) - 7 )/((6 - 49)) = ( √(6) - 7 )/( - 43) \\ \\ f ^( - 1) (2) = ( √(6) - 7 )/( - 43) = (2.449 - 7)/( - 43) \\ \\ f ^( - 1) (2) = ( - 4.551)/( - 43) \\ \\ f ^( - 1) (2) = ( 4.551)/( 43) =0.10584`

I hope I helped you^_^