group of College Algebra students were trying to determine

Last updated: 8/4/2022

group of College Algebra students were trying to determine whether f(x) = 4x and g(x)= 4 / x are inverse functions. The students correctly found that g(f(x)) = 1/x (a) Give an equation for (f .g)(x) = f(g(x)). Simplify as much as possible. f(g(x)) = ____________ (b) Use your answer to part a) and the students' conclusion that f(g(x)) = 1 / x to decide if f(x) and g(x) are inverse functions. (1) f and g ARE inverse functions (2) f and g ARE NOT inverse functions