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If f(x) = 2x2 + 3, g(x) = 5x − 2, then find f ° f

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प्रश्न

If f(x) = 2x2 + 3, g(x) = 5x − 2, then find f ° f

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उत्तर

f(x) = 2x2 + 3, g(x) = 5x − 2

(f ° f) (x) = f[f(x)]

= f(2x2 + 3)

= 2(2x2 + 3)2 + 3

= 2(4x4 + 12x2 + 9) + 3

= 8x4 + 24x2 + 21

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अध्याय 6: Functions - Exercise 6.2 [पृष्ठ १२७]

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