Question

Let f,g : R→R be defined respectively by f(x)=x+1,g(x)=2x−3. Find f+g,f−g and f/g

Answer 1

To find f+g, add f(x) and g(x) together. To find f-g, subtract g(x) from f(x). To find f/g, divide f(x) by g(x).

Step-by-step explanation:

To find f+g, we need to add f(x) and g(x) together. Since f(x)=x+1 and g(x)=2x-3, we can add the two functions as follows:

f+g(x) = (x+1) + (2x-3)

f+g(x) = 3x-2

To find f-g, we subtract g(x) from f(x) as follows:

f-g(x) = (x+1) - (2x-3)

f-g(x) = -x+4

To find f/g, we divide f(x) by g(x) as follows:

f/g(x) = (x+1)/(2x-3)