Let f = {(-4,1), (0,4), (3,0)} and g = {(-3,3), (1,3), (2,-1), (5,0)}. Find f $\circ$ g. f $\circ$ g = { } (Use a comma to separate ordered pairs as needed.)
Added by Angela A.
Close
Step 1
The composition $f \circ g$ means $f(g(x))$. To find the ordered pairs for $f \circ g$, we take an ordered pair $(x, y)$ from $g$, where $y = g(x)$. Then we look for an ordered pair in $f$ that starts with $y$, say $(y, z)$, where $z = f(y)$. The resulting ordered Show more…
Show all steps
Your feedback will help us improve your experience
Erika Bustos and 86 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Let $f$ be the function defined by $$f=\{(-3,4),(-2,2),(-1,0),(0,1),(1,3),(2,4),(3,-1)\}$$ and let $g$ be the function defined $$g=\{(-3,-2),(-2,0),(-1,-4),(0,0),(1,-3),(2,1),(3,2)\}$$ Find the value if it exists. $$(f \circ f)(0)$$
Further Topics in Functions
Function Composition
For each pair of functions, find $f \circ g$ and $g \circ f,$ if they exist. $$ \begin{array}{l}{f=\{(0,-7),(1,2),(2,-1)\}} \\ {g=\{(-1,10),(2,0)\}}\end{array} $$
Radical Equations and Inequalities
Operations on Functions
For each pair of functions, find $f \circ g$ and $g \circ f,$ if they exist. $$ \begin{array}{l}{f=\{(1,1),(0,-3)\}} \\ {g=\{(1,0),(-3,1),(2,1)\}}\end{array} $$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD