Lesson 3 Content Exercises Question 3.1. Consider the function f(x) = 10g7(x - 3) + 2. (a) Find the inverse, f-1(x), of the function f(x). Show all work. (b) Graph both f(x) and f-1(x) on the same set of axes. (c) In your own words, explain the relationship between f(x) and f-1(x). In your response, include an intuitive relationship, an algebraic relationship and a graphical relationship. Question 3.2. Suppose loga (x) = 1.391 and loga (y) = -0.215. Use properties of logarithms to evaluate loga 24 Va 3 / 2 Indicate which property you are using in each line of your solution. Do not round your final answer. Review Exercise Question 3.3 (See Lessons 1 and 2). This question is a review of functions. Let f(2) = 12+1 and x - 5 g(2) = 2 - 10x+ 21 (a) Let m be the number of the month you were born. So, if you were born in May, then m = 5. Evaluate f(m) and g(m). If one does not exist, explain why not. your final answer. (b) Evaluate (fog)(x) and (go f)(x), but do not simplify. The function notation should not appear in (c) Evaluate and simplify f(a + h) and g(a + h). (d) Evaluate and simplify J(ath) - f(a) h , assuming that h # 0