Question

If the range of the function f :
AN, f (x) = 2x - 3 is
(3, 5, 7, 9), then A is ...........
A {1, 2, 3,4}
B {2,3,4,5)
C {3,4,5,6)
DN​

Answer 1

Step-by-step explanation:

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Answer 2

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Clearly

$\displaystyle \: {f}^{ - 1} (x) = \frac{(x + 3)}{2}$

So

$\displaystyle \: {f}^{ - 1} (3) = \frac{(3 + 3)}{2} = 3$

$\displaystyle \: {f}^{ - 1} (5) = \frac{(5+ 3)}{2} = 4$

$\displaystyle \: {f}^{ - 1} (7) = \frac{(7 + 3)}{2} = 5$

$\displaystyle \: {f}^{ - 1} (9) = \frac{(9 + 3)}{2} = 6$

Hence the Domain is

A = { 3, 4, 5, 6 }

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