Question

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

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

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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