Question

Given f(x) = 5x − 7 and g(x) = −4x + 2, what is (f − g)(x)? x − 9 x − 5 9x − 9 9x − 5

Answer 1

To get (f-g)(x), we're essentially just factoring out x from f(x) and g(x).

-> f(x) - g(x) = x(f-g), and by the properties , x(f-g) is the same as (f-g)(x).

Therefore, (f-g)(x) = 5x - 7 - (-4x + 2) = 5x - 7 + 4x - 2 = 9x - 9.

Answer 2

`(f-g)(x)=9x - 9`

Explanation:

Given functions:

`\begin{cases}f(x) = 5x-7 \\ g(x) = -4x + 2\end{cases}`

To find (f - g)(x), subtract function g(x) from function f(x):

`\begin{aligned}(f-g)(x)&=f(x)-g(x)\\&=(5x-7)-(-4x+2)\\&=5x-7+4x-2\\&=5x+4x-7-2\\&=9x-9\end{aligned}`

Therefore, the solution to the given composite function is:

• 
  `9x-9`