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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा १०

Using the function f and g given below, find fog and gof. Check whether fog = gof f(x) = x – 6, g(x) = x2 - Mathematics

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प्रश्न

Using the function f and g given below, find fog and gof. Check whether fog = gof

 f(x) = x – 6, g(x) = x

योग

उत्तर

f(x) = x – 6, g(x) = x2

fog = fog(x)

= f(g(x))

fog = f(x)2

= x2 – 6

gof = gof(x)

= g(x – 6)

= (x – 6)2

= x2 – 12x + 36

fog ≠ gof

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Composition of Functions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Relations and Functions - Exercise 1.5 [पृष्ठ ३१]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 1 Relations and Functions
Exercise 1.5 | Q 1. (i) | पृष्ठ ३१
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