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Decide Whether the Composite Functions, F fgf \circ g Nd gf\mathbf { g } \circ \mathrm { f }

question 315

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Decide whether the composite functions, f fgf \circ g nd gf\mathbf { g } \circ \mathrm { f } f, are equal to x.
- f(x) =2x,g(x) =x2f ( x ) = 2 x , \quad g ( x ) = \frac { x } { 2 }

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Definitions:

Reduction

The act of making something lesser in size, amount, or degree.

Equals

Signifies that two quantities or expressions have the same value.

Final Value

Refers to the value of an investment or payment at the end of a specified period, accounting for interest or growth.

Fraction

A mathematical expression that represents the division of one quantity by another.

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