State whether the following statement is True or False.
The inverse of an identity function is the identity function itself.

True

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False

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Solution

The correct option is A True
An identity function $f (x)$ is of the form $f (x) = c x$
Let inverse of $f (x)$ be $g (x)$
$∴ g (x) = \frac{x}{c}$ (Identity Function)
Thus inverse of an identity function is the identity function itself.

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State whether the following statement is True or False.The inverse of an identity function is the identity function itself.

The correct option is A TrueAn identity function f(x) is of the form f(x)=cxLet inverse of f(x) be g(x)∴g(x)=xc (Identity Function)Thus inverse of an identity function is the identity function itself.

State whether the following statement is True or False.
The inverse of an identity function is the identity function itself.

The correct option is A True
An identity function $f (x)$ is of the form $f (x) = c x$
Let inverse of $f (x)$ be $g (x)$
$∴ g (x) = \frac{x}{c}$ (Identity Function)
Thus inverse of an identity function is the identity function itself.