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lowing functions. 3. g(x)=(x^(3))/(sqrt(1-x^(4)))

lowing functions.\newline33. g(x)=x31−x4 g(x)=\frac{x^{3}}{\sqrt{1-x^{4}}}

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Full solution

Q. lowing functions.\newline33. g(x)=x31−x4 g(x)=\frac{x^{3}}{\sqrt{1-x^{4}}}
  1. Identify Function: Identify the function to simplify. g(x)=x31−x4g(x) = \frac{x^3}{\sqrt{1-x^4}}
  2. Rationalize Denominator: Rationalize the denominator by multiplying the numerator and denominator by 1−x4\sqrt{1-x^4}.g(x)=x3⋅1−x41−x4⋅1−x4g(x) = \frac{x^3 \cdot \sqrt{1-x^4}}{\sqrt{1-x^4} \cdot \sqrt{1-x^4}}
  3. Simplify Denominator: Simplify the denominator. g(x)=x31−x41−x4g(x) = \frac{x^3 \sqrt{1-x^4}}{1-x^4}
  4. Cancel Common Term: Cancel out the common term x3x^3 in the numerator and denominator.\newlineg(xx) = 1−x4\sqrt{1-x^4}

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