Question
Download Solution PDFयदि f: R→R: f(x) = x2 - 17 है। तो -1 की पूर्व-छवि क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
यदि f(x) = y है, तो हम कह सकते हैं कि f के तहत y, x की छवि है और f के तहत x, y की पूर्व-छवि है।
गणना:
यहाँ, f: R→R: f(x) = x2 - 17
⇒f(x) = -1
⇒ x2 - 17 = -1
⇒ x2 = 16
⇒ x = -4, 4
इसलिए, -4, 4, -1 की पूर्व-छवि हैं।
अतः विकल्प (3) सही है।
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