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Question

Find the range of the following function:
$$f(x)=2-3x,x\in R,x> 0$$


A
(,2)
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B
(0,)
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C
(1,2)
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D
(2,3)
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Solution

The correct option is A $$(-\infty,2)$$
since $$x$$ is $$> 0$$, 

    $$-x$$ will be $$< 0$$ which implies $$-3\times x < 0$$

therefore adding $$2$$ on both sides in the above equation

 $$2 +( -3\times x) < 2 + 0$$

which implies $$2-3\times x$$ belongs to all numbers on the real axis which 

are less than $$2$$ which is simply its range i.e, $$(−∞,2)$$

Mathematics

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