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RELATIONS AND FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSRELATIONS AND FUNCTIONS2 Marks
Question
$f(x) = 8x^3$ and $g(x) =\text{x}^{\frac{1}{3}}.$
✓

Answer

$f(x) = 8x^3$ and $g(x) \text{x}^{\frac{1}{3}}$
gof $= g[f(x)] = g[8x^3] (8\text{x}^3)^{\frac{1}{3}}=2\text{x}$
and fog $= f[g(x)] =f\Big[\Big(\text{x}^{\frac{1}{3}}\Big)\Big]=8\Big(\text{x}^{\frac{1}{3}}\Big)^3=8\text{x}$

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