Question
Asked Dec 7, 2019
42 views

If f={(3,0),(−4,−3),(1,23),(π,−3)}f={(3,0),(-4,-3),(1,23),(π,-3)} and g={(2,3),(−4,−2),(13,0)}g={(2,3),(-4,-2),(13,0)}, find each of the following values of ff and gg.

a.a. f(g(2))f(g(2)) =
b.b. f(−4)−g(−4)f(-4)-g(-4) =

check_circle

Expert Answer

Step 1

Given is the following information about the two discrete functions f and g:

help_outline

Image Transcriptionclose

f ={(3,0).(-4,-3).(1,23).(7,–3)} g = {(2,3),(-4,–2).(13,0)}

fullscreen
Step 2

(a).  f(g(2))

First focus on the inner function, g(2), from the information given observe that:

help_outline

Image Transcriptionclose

when x= 2, g= 3 =g(2) = 3 = f(g(2))= f(3)

fullscreen
Step 3

Again from the information ...

help_outline

Image Transcriptionclose

when x= 3, f = 0 = f(3) = 0

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra