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Lesson: Composition of Functions

Question Video: Finding and Evaluating the Sum of a Rational and a Linear Function

02:35

Worksheet: Composition of Functions • 21 Questions

Q1:

If and , then find and fully simplify an expression for .

  • A
  • B
  • C
  • D
  • E

Q2:

Find given and .

  • A
  • B
  • C
  • D
  • E

Q3:

If and , then find and fully simplify an expression for .

  • A
  • B
  • C
  • D

Q4:

If where , and where , find the value of if possible.

  • Aundefined
  • B46
  • C36
  • D16

Q5:

Given that , where , and , where , evaluate .

  • A
  • B724
  • C
  • D

Q6:

What is the domain of the quotient , in terms of the domains of and ? Assume that both domains are subsets of the set of real numbers.

  • A the intersection of the domain of and the domain of
  • Bthe difference between the domain of and the domain of
  • C the intersection of the domain of and the domain of
  • D the larger of the domain of and the domain of
  • E the union of the domain of and the domain of

Q7:

Determine the common domain of the functions and .

  • A
  • B
  • C
  • D
  • E

Q8:

If and are two real functions where and , determine the value of if possible.

  • Aundefined
  • B
  • C
  • D

Q9:

If and are two real functions where and , determine the value of if possible.

  • Aundefined
  • B
  • C1
  • D

Q10:

Given that , , and , identify the domain of .

  • A
  • B
  • C
  • D
  • E

Q11:

If and are two real functions where and , determine the value of if possible.

  • Aundefined
  • B5
  • C3
  • D

Q12:

Given that , , and , determine in its simplest form.

  • A
  • B
  • C
  • D
  • E

Q13:

Given that , , and , simplify the function , and determine its domain.

  • A , domain
  • B , domain
  • C , domain
  • D , domain
  • E , domain

Q14:

Given that , , and , simplify the function , and determine its domain.

  • A , domain
  • B , domain
  • C , domain
  • D , domain
  • E , domain

Q15:

If , where , and , where , determine and its domain.

  • A
  • B
  • C
  • D

Q16:

Given that and find and state its domain.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q17:

Given that and find and state its domain.

  • A ,