(a) Use the table of values for f(x) and the graph given for g(x) to calculate each of the following: i) f(g(2)) = ii) g(f(2)) iii) f(f(0)) = iv) g(g(0)) = (b) g(g(x)) = 1 when z = 012345 f(x)324015 (click on the graph to enlarge) Q Q g(x) X

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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(a) Use the table of values for f(x) and the graph given for g(x) to calculate each of the following:
i) f(g(2)) =
ii) g(f(2))
iii) f(f(0))
iv) g(g(0)) =
(b) g(g(x)) = 1 when =
012345
f(x)324015
(click on the graph to enlarge)
5
3
2
X
Transcribed Image Text:(a) Use the table of values for f(x) and the graph given for g(x) to calculate each of the following: i) f(g(2)) = ii) g(f(2)) iii) f(f(0)) iv) g(g(0)) = (b) g(g(x)) = 1 when = 012345 f(x)324015 (click on the graph to enlarge) 5 3 2 X
Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula for the other formula such that their composition yields f(x) = g(h(x)). Be sure to play close attention to the order of
composition.
(a) If g(x) = tan (x), then
h(x) =
(b) If h(x) = tan (x), then g(x) =
f(x): = tan (6 + tan (x))
Transcribed Image Text:Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula for the other formula such that their composition yields f(x) = g(h(x)). Be sure to play close attention to the order of composition. (a) If g(x) = tan (x), then h(x) = (b) If h(x) = tan (x), then g(x) = f(x): = tan (6 + tan (x))
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