Question

F(x) = 1/x + 1 dan (fog) (x) = 1/1+x. nilai g(2)=​

Answer 1

Verified answer

// mencari invers f(x) //

  f(x) = 1/x+1

     y = 1/x+1

   y-1 = 1/x

x(y-1) = 1

     x = 1/(y-1)

f⁻¹(x) = 1/(x-1)

//mencari g(2) //

(f⁻¹o(fog))(x) = 1/(1/(1+x)-1)

            g(x) = 1/((1-(1+x))/(1+x))

            g(x) = 1/(-x/(1+x))

            g(x) = (1+x)/-x

            g(2) = (1+2)/-(2)

            g(2) = 3/-2

            g(2) = -3/2