Question

Resolver y dar f-1(x)
F(x) = 2x^2-1
G(x)= raíz de 2x-2
Fog
G o f

Answer 1

Camille,
Vamos paso a paso

f(x) = y = 2x^2 - 1
Necesitamos expresar f(y)
         y + 1 = 2x^2
           x^2 = (y + 1)/2
               x = √[(y + 1)/2]
                                          f^-1(x) = √[(y + 1)/2]

fog = 2(√2x - 2)
    
gof = √[2(2x^2 - 1) - 1]