In the f(2)(1270)-f ' (2)(1525) mixing framework, the isoscalar singlet-oct
et mixing angle for the 1 P-3(2) tenser nonet is determined to have the val
ue of 27.5 degrees and the decays of the two states are investigated. Compa
ring the predicted results of the decays of the two states with the availab
le experimental data, we find that the predicted results based on this simp
le mixing picture are in good agreement with the experimental data, which s
how that the f(2)(1270) and f ' (2)(1525) wavefunctions do not need other c
omponents such as glueballs or the 2 P-3(2), 3 P-3(2),..., q (q) over bar.