Răspuns:
f(g(1)) = 1
Explicație pas cu pas:
f:(-1 ; ∞) -->R ; f(x) = log₂(x+1)
g:(-1 ; ∞) -->R ; g(x) =2ˣ-1
---------------
f(g(1)) = ?
f(g(x)) = log₂(2ˣ-1+1) = log₂2ˣ = xlog₂2 = x
f(g(x)) = x
f(g(1)) = 1
---------------
sau :
g(1) = 2¹-1 = 2-1 = 1 =>
f(g(1)) = f(1) = log₂(1+1) = log₂2 = 1 =>
f(g(1)) = 1
