3^(x−1) = 27
please and thank you in advance

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

You are at a restaurant and owe $38 for your meal. you want to leave a 20% tip. how much will your tip be?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)