Question

Let f(x)=3x-1 and g(x)=2x+5. Find f(x)-g(x)

Answer 1

x - 6

Explanation:

This Question tests on the concept of Addition/Subtraction of Functions.

Addition/Subtraction of Functions

Functions, can be added or subtracted , just like ordinary numbers.

f(x) = 3x, g(x) = 6x - 4, f(x) + g(x) = 3x + (6x - 4)

= 9x - 4

Application

Using the above concept, we can find f(x) - g(x) for this question.

Given:

f(x) = 3x - 1

g(x) = 2x + 5

f(x) - g(x) =

`3x - 1 - (2x + 5) \\ = 3x - 1 - 2x - 5 \\ = x - 6`

Therefore f(x) - g(x) = x - 6.