We perform a tomographic structure growth and expansion rate analysis using the monopole, quadrupole and hexadecapole of the redshift-space galaxy power spectrum derived from the Sloan Digital Sky Survey (SDSS-III) Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 12 combined sample, which covers the redshift range of 0.20 < z < 0.75. By allowing for overlap between neighbouring redshift slices in order to extract information on the light-cone, we successfully obtain joint BAO and RSD constraints with a precision of 2-3 per cent for DA, 3-10 per cent for H and 9-12 per cent for fσ8 with a redshift resolution of Δz ˜ 0.04. Our measurement is consistent with that presented in Wang et al., where the analysis is performed in configuration space. We apply our measurement to constrain the f(R) gravity model, and find that the 95 per cent CL upper limit of log10B0 can be reduced by 11 per cent by our tomographic BAO and RSD measurements. We make our joint BAO and RSD measurements publicly available at https://github.com/Alice-Zheng/RSD-data (DOI:10.5281/zenodo.2538492).