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3. Functions & Graphs
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Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
3. Functions & Graphs
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3. Functions & Graphs / Function Composition / Problem 9
Problem 9
Find (f ○ g)¯¹(x) and (g¯¹ ○ f
-1
)(x) if f(x) = 5x and g(x) = x - 7.
A
(f ○ g)
-1
(x) = (x + 35)/5, (g
-1
○ f
-1
)(x) = x/5 + 7
B
(f ○ g)
-1
(x) = x + 28, (g
-1
○ f
-1
)(x) = x/3 + 4
C
(f ○ g)
-1
(x) = 3x + 5, (g
-1
○ f
-1
)(x) = (x + 5)/2
D
(f ○ g)
-1
(x) = x/7 + 2, (g
-1
○ f
-1
)(x) = (x + 1)/3
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