Question

प्रश्न 1: यदि f, g और h, R से R तक के तीन फलन हैं, f(x) = 3x + 7, g(x) = x2 + 1
और h(x) = 3x के रूप में परिभाषित हैं। फिर, fogoh(x) का ज्ञात कीजिए।

Answer 1

SOLUTION

GIVEN

f(x) = 3x + 7, g(x) = x² + 1 and h(x) = 3x

TO DETERMINE

$\sf{f \circ g \circ h(x)}$

EVALUATION

Here it is given that

f(x) = 3x + 7, g(x) = x² + 1 and h(x) = 3x

Now

$\sf{f \circ g \circ h(x)}$

$\sf{ = f (g ( h(x)))}$

$\sf{ = f (g (3x))}$

$\sf{ = f (9 {x}^{2} + 1 )}$

$\sf{ = 3(9 {x}^{2} + 1 ) + 7}$

$\sf{ =27 {x}^{2} + 3+ 7}$

$\sf{ =27 {x}^{2} + 10}$

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