Please help! math asap

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

Choosing a booth location: your manager is sending two people to work at the conference. she wants a booth that will give your company good visibility for no more than 35% of the total budget ($3000). the conference coordinator just told you there are only five booths left. which booth will you choose? write the inequality that shows how much money you can spend on the booth simplify the inequality that shows how much money you can spend on the booth.

Which best explains why this triangle is or is not a right triangle ?