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Let f, g : R ->R be defined, respectivel...

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`.

Text Solution

Verified by Experts

Here,
`f(x)=x+1`
g(x) = 2x -3
`therefore" "f+g=f(x)+g(x)`
`=(x+1)+(2x-3)`
`implies " "f+g=3x-2`
Similarly, `f-g=f(x)-g(x)`
`=(x+1)-(2x-3)`
`impliesf-g=-x+4`
and `f/g=(f(x))/(g(x))=(x+1)/(2x-3)`
`implies f/g=(x+1)/(2x-3),xne-3/2`
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