Question

Tolong bantuannya!
f(x)= 3 pangkat x
g(x)= x2 + 1
invers f[g(x2)-1] =?

Answer 1

F[ g(x²) - 1] = f(x⁴ +1 - 1) = f(x⁴)
f(x⁴)= (3)ˣ^⁴
.
f⁻¹(3ˣ^⁴) = x⁴
3ˣ^⁴ = y
x⁴ log 3 = log y
x⁴= ³log y

f⁻¹(y) = ³log y
f⁻¹(x⁴)= ³log x⁴