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  • Find the range of each of the following functions.f (x) = 2-3 x , x belongs to R , x > 0

Q5 (1)  Find the range of each of the following functions.

         f (x) = 2 - 3x, x \epsilon R, x > 0.

Answers (1)

best_answer

Given function is 

f (x) = 2 - 3x, x \epsilon R, x > 0.
It is given that x > 0
Now,
\Rightarrow 3x > 0
\Rightarrow -3x < 0
Add 2 on both the sides 
\Rightarrow -3x+2 < 0+2
\Rightarrow 2-3x < 2
\Rightarrow f(x) < 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ (\because f(x) = 2-3x)
Therefore,
Range of function f(x) = 2 -3x is  (-\infty,2)

Posted by

Gautam harsolia

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