Question

यदि P : A → B, P(x) = 2x – 3 और R_f = {-2, -1, 0} हो तो फलन का प्रदेश समुच्य प्राप्त करो ।

Answer 1

प्रदेश समूच्य A P(x) = 2x – 3 और विस्तार R_f = {-2, -1, 0} दिया है ।
∴ -2 = 2(x) – 3
-2 = 2x – 3
– 2 + 3 = 2x
\(\frac{1}2\) = x
∴ x = \(\frac{1}2\)

– 1 = 2(x) (-3)
– 1 = 2x – 3
-1 + 3 = 2x
\(\frac{2}2\) = x
x = 1

0 = 2x – 3
0 + 3 = 2x
\(\frac{2}2\) = x
∴ x = \(\frac{3}2\)

प्रदेश समूच्य A = {\(\frac{1}2, 1, \frac{3}2\)}