Question

Let f(x)=−3x and g(x)=2x−1. Find the following: f(x)+g(x).

a) x+1
b) -x-1
c) There is no correct answer
d) 4x-4
e) 5x-1

Answer 1

The expression for the function, f(x) + g(x) is given as 5x - 1. Option D

A composite function is formed by combining two or more functions where the output of one function becomes the input of another function, creating a new function.

To determine the composite function, we have that the functions are given as;

f(x)=−3x

g(x)=2x−1

Then, we have that to determine the function, f(x)+g(x), substitute the expressions, we get;

3x + 2x - 1

collect and add the like terms, we have;

5x - 1