{ Math130_Exam_1(1)... Math 130: Midterm 1 1. Algebraically find all four inverses of the function f(z) = (2z + 5)*(2r 5)* and state the domain restrictions upon which each inverse applies. (Hint: We did a problem like this in class. Look through your notes or ask a classmate if you're stuck!) (i) First, graph the function. What will be the domain restrictions such that we can find an inverse for each restricted function? Write your answer in interval notation. (15 points) (ii) Algebraically solve for the inverses. (Hint: Remember that when g(r) = x*, we had ~ '(x) = 4/ depending on the domain restriction!) (15 points) (ili) Finally, determine which inverse corresponds with which domain restriction. (5 points) Math 130: Calculus 1 Page 1 2. Evaluate 1 log 8z + 1 -5 2logx 2 . 8a2 +x5\\"* im f - : eoo [log(x +1) a? -3z +8 log(z + 1) 2 -3z +8 (i) First, break it apart into smaller limits. Make sure to state which rules you are using from page 34 in the guided notes! (10 points) /R A (o= (ol T To Do Notifications