Evaluate functions for inputs in their domains

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HiSET › Evaluate functions for inputs in their domains

Questions 1 - 2
1

Define and .

Evaluate .

The expression is undefined.

Explanation

By definition,

,

so first, evaluate by substituting 2 for in :

,

so evaluate through a similar substitution:

,

the correct response.

2

Define functions and as follows:

Evaluate .

Undefined

Explanation

By definition, . Evaluate by substituting 0 for in the definition of :

, so substitute 4 for in the definition of . Since 4 satisfies the condition , use the definition for those values:

,

the correct value.

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