Question

Find the range of the function f(x)=2-3x, x belongs to R, x>0​

Answer 1

Answer:

2-3x<2

Step-by-step explanation:

x>0

-x<0

-3x<0

-3x+2<2

(2-3x<2)

Answer 2

The range of this function is $R=\{-\infty, 2\}$.

Step-by-step explanation:

Given : Function $f(x)=2-3x,x\in \mathbb{R}, x>0$.

To find : The range of the function ?

Function $f(x)= 2 - 3x$

Let's take f(x) = y

i.e. $f(x) = 2 - 3x = y$

$2 - y = 3x$

$x=\frac{2-y}{3}$

As x > 0,

so, $\frac{2-y}{3}>0$

$\Rightarrow 2 - y > 0$

$\Rightarrow y < 2$

The range of this function is $R=\{-\infty, 2\}$.

#Learn more

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