Let f, g : R → R be defined, respectively by ...

NCERT Class XI Mathematics - Relations and Functions - Solutions

Question : 31 of 36

Marks: +1, -0

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

\frac{f}{g}

Solution:

Given f (x) = x + 1 and g(x) = 2x – 3

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

(f – g)(x) = f (x) – g(x) = (x + 1) – (2x – 3) = –x + 4

\left(\frac{f}{g}\right)

(x) =

\frac{f(x)}{g(x)}

\frac{x+1}{2x-3}

; 2x - 3 ≠ 0 i.e, x ≠

\frac{3}{2}

Go to Question:

Prev Question

Next Question