please help me with this question

The function x) = (305(6": +e_$) +m2 is 0 odd. 0 even. O neither even nor odd. 0 both even and odd. 0 an exponential function. Explain why the following statement must be True, or provide a counterexample to show that it can be False. If f and g are one-to-one functions defined on all of R , then the function h(ac) = f(ac) + g(ac) is also one-to-one.What are the domain and range of the function f(a) = Vex+1 ? O Domain and range: R. O Domain and range: (0, co). O Domain: R ; Range: (1, co) . O Domain: R ; Range: (0, co) . O Domain: R ; Range: (1, co) .The half-life of phosphorus-32 is about 14 days. There are 18 grams present initially. When will there be 2 grams remaining (in days)? Round your answer to the nearest integer. Let f($) 2 6331 +21I1(:r:) +53: . You may assume that f(l':) is one-to-one. What is f_1(6] ? Your answer should be a positive integer. If log (sin x) = A and log, (cos x) = B , find an expression for log, sin(2a)] involving A and B O- + A+B O V2A O 2AB O 2+A+BThe population of Milton is currently 110,128 and is growing at a rate of 1.8% per year. After how many years will the population reach 200,000 ? Round up to the nearest year. For each statement below, explain why it must be True, or provide a counterexample to show that it can be False. (Note: f isafunction from R to R.) - If f is even then f is not one-to-one. - If f is odd then f is one-to-one