1. The problem statement, all variables and given/known data 1) When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor, which stores electric charge given by the following. (The maximum charge capacity is M and t is measured in seconds.) Q(t) = M(1 - e-t/a) (a) Find the inverse of this function and explain its meaning. 2. Let f(x) = 2 + x2 + tan(πx/2), where -1 < x < 1. (a) Find f(f -1(4)). 2. Relevant equations n/a 3. The attempt at a solution (1) Q = M(1 - e^-t/a) Q/M = 1 - e^-t/a e^-t/a = 1 - Q/M -t/a (ln e) = ln(1 - Q/M) -t/a = ln(1 - Q/M) t = -a[ln(1 - Q/M)] That's not right. (#2.) x = 2 + y^2 + tan(π*y/2) 4 = 2 + y^2 + tan(π*y/2) *plug into wolfram alpha... y~0.642 f(x) = 2 + x2 + tan(πx/2) original formula f(.642)= 2 + (.642^2) + tan (.642π/2) f(.642)=2.4293 That's not right either. I'm not really seeing where I went wrong in either of them..any help is appreciated.