e t Secure httpswwwwebassignnetwebStudentAssignmentResponses

e t Secure https//www.webassign.net/web/Student/Assignment-Responses/submit?dep 17403814 Consider the following functions. /(x)-2x + 3, g(x)-5x-1 Find (f o g)(x). Find the domaln of ( o 9)x). (Enter your answer using Interval notation.) Find (g)(x). Find the domain of (g o f0(x). (Enter your answer using interval notation.) Find (f o 0(x). Find the domain of (f)(x). (Enter your answer using interval notation.)

Solution

f(x) = 2x +3 ; g(x) = 5x -1

(f o g)(x) = 2(5x -1) + 3 = 10x -2 + 3 = 10x +1

Domain : all real numbers ; ( - inf, inf)

( g o f)(x) = 5(2x +3) -1 = 10x + 14

Domain : all real numbers ; ( - inf, inf)

(f o f)(x) = 2(2x+3) + 3= 4x + 6 +3 = 4x + 9