Does my laptop meet the required specs to play this game?

MINIMUM REQUIREMENT:
OS: 32-bit Windows 7 / Windows 8 / Vista
Processor: Intel® 2 Duo 2.4 GHz or AMD Athlon X2 2.8 GHz
Memory: 2 GB RAM
Graphics: NVIDIA® 8800 GTS or AMD® HD 3850
DirectX: Version 10
Network: Broadband Internet connection
Hard Drive: 21 GB available space
Additional Notes: Windows XP and DirectX® 9.0b and below not supported

RECOMMENDED REQUIREMENT:
OS: 64-bit Windows 7 / Windows 8 / Vista
Processor: Intel Core i5-750, 2.67 GHz or AMD Phenom II X4 965, 3.4 GHz or better
Memory: 4 GB RAM
Graphics: NVIDIA® GTX 560 or AMD® HD 6950
DirectX: Version 11
Network: Broadband Internet connection
Hard Drive: 22 GB available space
Additional Notes: Windows XP and DirectX® 9.0b and below not supported

My laptop's specifications can be founded here: http://psref.lenovo.com/Detail/217?M=80K6002SUS
(I'm running Windows 10 by the way, not 8.1)

Added (1). My apologies. Here's the game along with the requirements at the bottom of the screen: http://store.steampowered.com/...app/242700

Yes i think it can run it fine but how many fps is questionable.

You do not meet the recommended. So, you don't get top settings at 35fps.
You did not state the game, to give a chance to look up information.
You did not state the minimum, to do a manual check against it, rather the the automatic from a web site.

It is 100% impossible to know whether the game is playable, because information is missing.
Recommended vs your own, is not enough.

Your processor (i7-5500U mobile CPU) meets the recommended performance ratings for this game vs. The two processors listed: i7-5500U @ 3935 marks vs. I5-750 @ 3732 vs. Phenom II 965 @ 4262.

PassMark - CPU Performance Comparison
http://www.cpubenchmark.net/...%5B%5D=772

However, your graphics (Radeon R9 M365) isn't good enough to meet the recommended performance vs. Recommended GPU's: R9 M375 @ 1424 vs.HD 6950 @ 3179 vs. GTX 560 @ 3116.

PassMark - Video Card Performance Comparison
http://videocardbenchmark.net/compare.php?cmp%5B%5D=3035&cmp%5B%5D=36&cmp%5B%5D=71

However, your graphics easily exceeds the minimum GPU performance: M375 @ 1424 vs. HD 3850 @ 365 vs. 8800 GTS @ 615.

PassMark - Video Card Performance Comparison
http://videocardbenchmark.net/compare.php?cmp%5B%5D=3035&cmp%5B%5D=489&cmp%5B%5D=101

So you should be able to play this game easily, but just not on the highest settings. Also check your system against this webpage which can give you a more definitive answer:

Injustice: Gods Among Us Ultimate Edition system requirements | Can I Run Injustice: Gods Among Us Ultimate Edition
http://systemrequirementslab.com/cyri/requirements/injustice-gods-among-us-ultimate-edition/11908/?p=a