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Q7 Let f, g : R $\rightarrow$ R be defined, respectively by f(x) = x + 1, g(x) = 2x – 3. Find
f + g, f – g and f/g

Answers (1)

best_answer

It is given that
$f,g : R \rightarrow R$
$f(x)=x+1 \ \ and \ \ g(x) = 2x - 3$
Now,
$(f+g)x = f(x)+g(x)$
   $= (x+1)+(2x-3)$
   $= 3x-2$
Therefore,
$(f+g)x= 3x-2$

Now,
$(f-g)x = f(x)-g(x)$
   $= (x+1)-(2x-3)$
   $= x+1-2x+3$
   $= -x+4$
Therefore,
$(f-g)x= -x+4$

Now,
$\left ( \frac{f}{g} \right )x = \frac{f(x)}{g(x)} , g(x)\neq 0$
   $=\frac{x+1}{2x-3} \ , x \neq \frac{3}{2}$
Therefore, values of $(f+g)x,(f-g)x \ and \ \left ( \frac{f}{g} \right )x$ are $(3x-2),(-x+4) \ and \ \frac{x+1}{2x-3}$ respectively

Posted by

Gautam harsolia

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