HiSET: Math : Evaluate functions for inputs in their domains

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #1 : Evaluate Functions For Inputs In Their Domains

Define and .

Evaluate .

Possible Answers:

The expression is undefined.

Correct answer:

Explanation:

By definition,

,

so first, evaluate by substituting 2 for  in :

,

so evaluate through a similar substitution:

,

the correct response.

Example Question #2 : Evaluate Functions For Inputs In Their Domains

Define functions and as follows:

Evaluate .

Possible Answers:

Undefined

Correct answer:

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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