Question

Given the functions m(x) = 4x − 11 and n(x) = x − 10, solve m[n(x)] and select the correct answer below. (2 points)

Answer 1

For this case what we must do is a composition of functions which will be given by:
 m (x) = 4x - 11
 n (x) = x - 10
 We have then:
 m [n (x)] = 4 (x - 10) - 11
 Rewriting the function:
 m [n (x)] = 4x - 40 - 11
 m [n (x)] = 4x - 51
 Answer:
 a. m [n (x)] = 4x - 51