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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) = 3 + x, g(x) = x – 4 - Mathematics

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प्रश्न

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

f(x) = 3 + x, g(x) = x – 4

योग

उत्तर

f(x) = 3 + x, g(x) = x – 4

fog = f[g(x)]

= f(x – 4)

= 3 + x – 4

= x – 1

gof = g[f(x)]

= g(3 + x)

= 3 + x – 4

= x – 1

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. (iv) | पृष्ठ ३१
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