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Show That f(x)=14lnx and g(x)=e4xf(x)=\frac{1}{4} \ln x \text { and } g(x)=e^{4 x}

question 5

Essay

Show that f(x)=14lnx and g(x)=e4xf(x)=\frac{1}{4} \ln x \text { and } g(x)=e^{4 x}
are inverse functions.


Definitions:

Control Specifier

A component in formatted input/output functions in languages like C, specifying the type of data to be inputted or outputted.

Floating-Point Expression

A mathematical expression involving floating-point numbers which are numbers with decimal points.

Real Expression

An expression in programming that evaluates to a floating-point number.

Double-Precision Expression

A term describing a type of floating-point arithmetic that uses double the number of bits than single-precision, offering greater precision and range.

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