2. Find fog and g of for each pair of real functions fand g. Use the understood domains for fand g.initobd mod A ★ (a) f(x) = 2x + 5, g(x) = 6 - 7x (b) f(x) = x² + 2x, f(x) = f(x) = (c) (d) (e) f(x) = (f) f(x) = (g) (h) * (i) (j) g(x) = {(1, 5), (2, 3), (3, 7), (4, 3), (5,4)} x + 1 g(x) = x² + 1 g(x) = |x| if x ≤ 0 if x > 0' 8(x) = f(x) = g(x) = 2x + 1 sin x, g(x) = 2x² + 1 tan x, g(x) = sin x {(t, r), (s, r), (k, l)}, g(x) = {(k, s), (t, s), (s, k)} {(1, 3), (2, 6), (3, 5), (4, 2), (5, 2)}, x + 2³ f(x) = 3x + 2, f(x) = [x x + 1 2x 2x + 3 if x <3 if x ≥ 3' f(x) = { x² g(x) = 2x if x < -1 -x if x>-1 7 - 2x x + 1 orci if x ≤ 2 if x > 2
2. Find fog and g of for each pair of real functions fand g. Use the understood domains for fand g.initobd mod A ★ (a) f(x) = 2x + 5, g(x) = 6 - 7x (b) f(x) = x² + 2x, f(x) = f(x) = (c) (d) (e) f(x) = (f) f(x) = (g) (h) * (i) (j) g(x) = {(1, 5), (2, 3), (3, 7), (4, 3), (5,4)} x + 1 g(x) = x² + 1 g(x) = |x| if x ≤ 0 if x > 0' 8(x) = f(x) = g(x) = 2x + 1 sin x, g(x) = 2x² + 1 tan x, g(x) = sin x {(t, r), (s, r), (k, l)}, g(x) = {(k, s), (t, s), (s, k)} {(1, 3), (2, 6), (3, 5), (4, 2), (5, 2)}, x + 2³ f(x) = 3x + 2, f(x) = [x x + 1 2x 2x + 3 if x <3 if x ≥ 3' f(x) = { x² g(x) = 2x if x < -1 -x if x>-1 7 - 2x x + 1 orci if x ≤ 2 if x > 2
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Part J only
Transcribed Image Text:2.
Find fog and g of for each pair of real functions fand g. Use the understood
domains for fand g.initobd mod A
★
(a) f(x) = 2x + 5,
g(x) = 6 - 7x
(b)
f(x) = x² + 2x,
f(x) =
f(x) =
(c)
(d)
(e)
f(x) =
(f) f(x) =
(g)
(h)
* (i)
(j)
g(x) = {(1, 5), (2, 3), (3, 7), (4, 3), (5,4)}
x + 1
g(x) = x² + 1
g(x) = |x|
if x ≤ 0
if x > 0' 8(x) =
f(x) =
g(x) = 2x + 1
sin x,
g(x) = 2x² + 1
tan x,
g(x) = sin x
{(t, r), (s, r), (k, l)}, g(x) = {(k, s), (t, s), (s, k)}
{(1, 3), (2, 6), (3, 5), (4, 2), (5, 2)},
x + 2³
f(x) = 3x + 2,
f(x) =
[x
x + 1
2x
2x + 3 if x <3
if x ≥ 3'
f(x) = { x²
g(x) =
2x
if x < -1
-x if x>-1
7 - 2x
x + 1
orci
if x ≤ 2
if x > 2
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