Question

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

Answer 1

m(n(x))=m(x−10)=4(x−10)−11=4x−40−11=4x−51 For short C Hope this helped=)

Answer 2

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!!`