Question

Let f(x)=8x+5 and g(x)=9x-2. find the function.f - g(f - g) (x) =find the domain.

Answer 1

(f - g)( x ) = -x + 7

Domain;

`(-\infty,\infty)`

Step-by-step explanation:

Given the below functions;

`\begin{gathered} f(x)=8x+5 \\ g(x)=9x-2 \end{gathered}`

To find (f - g)( x ), all we need to do is subtract g(x) from f(x) as shown below;

`\begin{gathered} (f-g)\mleft(x\mright)=(8x+5)-(9x-2) \\ =8x+5-9x+2 \\ =8x-9x+5+2 \\ =-x+7 \end{gathered}`

The domain of the function will be all values from negative infinity to positive infinty, written as;

`(-\infty,\infty)`