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Let f(x)=x3 and g(x)=x√3.

Use the composition of functions to determine if f(x) and g(x) are inverse functions.

Drag and drop the answers into the boxes to correctly complete each statement.

Let Fxx3 And Gxx3 Use The Composition Of Functions To Determine If Fx And Gx Are Inverse Functions Drag And Drop The Answers Into The Boxes To Correctly Complet class=

Sagot :

loneguy

[tex]\text{Given that,}\\\\f(x) =x^3~~~ \text{and}~~ g(x) = \sqrt[3]x\\\\\\(f \circ g)(x) = f(g(x))= f\left(\sqrt[3]x \right) = \left(\sqrt[3] x \right)^3 =x \\\\(g\circ f)(x) =g(f(x)) = g(x^3) = \sqrt[3]{x^3} = x\\\\\text{Since} (f \circ g)(x) = (g \circ f) (x) ,~~ \text{f(x) and g(x) are inverses of each other.}[/tex]

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