173k views
1 vote
Given the functions m(x) = 4x − 11 and n(x) = x − 10, solve m[n(x)] and select the correct answer below.

A. m[n(x)] = 4x − 29
B. m[n(x)] = 4x^2 − 29
C. m[n(x)] = 4x − 51
D. m[n(x)] = 4x^2− 51

User Karli Ots
by
7.3k points

2 Answers

2 votes
m(n(x))=m(x−10)=4(x−10)−11=4x−40−11=4x−51 For short C Hope this helped=)
User Amin
by
8.5k points
1 vote

General Idea:

The Composite function means a function inside another function. Say if we have to function f(x) and g(x), then f(g(x)) means substituting g(x) for x in the function f(x).

Applying the concept:


m(x)=4x-11\\ \\ n(x)=x-10\\ \\ m(n(x))=4(x-10)-11\\ Distribute \; 4\\ \\ 4(x-10)-11=4x-40-11\\ Combine \; Like \; Terms\\ \\ 4x-40-11=4x-51

Conclusion:


m(n(x))=4x-51\\ \\ Option \; C \; is \; correct \; answer!!

User RASG
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories