5. Given the function f(x) = x² − 1, determine the value of {{(3)). a. 64 - b. 63 C. 100 d. 101 6. Given a function f(x) and g(x) = 3(x - 1), how would the graph of y = f(g(x)) compare to the graph of y = f(x)? a. b. vertically stretched and translated to the right horizontally compressed and translated to the left C. d. horizontally stretched and translated to the right horizontally compressed and translated to the right 7. If f(x) = log 4x and g(x) = x² − 2, which of these expressions is equivalent to (f ° g)(4)? log 16 x 14 log²16-2 a. b. C. log 56 8. If f(x) and g(x) are even functions, then what type of function is y = f(x)g(x)? a. odd b. even C. neither d. log 4 x log 14 d. cannot be determined for sure
5. Given the function f(x) = x² − 1, determine the value of {{(3)). a. 64 - b. 63 C. 100 d. 101 6. Given a function f(x) and g(x) = 3(x - 1), how would the graph of y = f(g(x)) compare to the graph of y = f(x)? a. b. vertically stretched and translated to the right horizontally compressed and translated to the left C. d. horizontally stretched and translated to the right horizontally compressed and translated to the right 7. If f(x) = log 4x and g(x) = x² − 2, which of these expressions is equivalent to (f ° g)(4)? log 16 x 14 log²16-2 a. b. C. log 56 8. If f(x) and g(x) are even functions, then what type of function is y = f(x)g(x)? a. odd b. even C. neither d. log 4 x log 14 d. cannot be determined for sure
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Transcribed Image Text:5. Given the function f(x) = x² − 1, determine the value of {{(3)).
a.
64
-
b.
63
C.
100
d.
101
6. Given a function f(x) and g(x) = 3(x - 1), how would the graph of y = f(g(x)) compare to the graph of y = f(x)?
a.
b.
vertically stretched and translated to the right
horizontally compressed and translated to the left
C.
d.
horizontally stretched and translated to the right
horizontally compressed and translated to the right

Transcribed Image Text:7. If f(x) = log 4x and g(x) = x² − 2, which of these expressions is equivalent to (f ° g)(4)?
log 16 x 14
log²16-2
a.
b.
C.
log 56
8. If f(x) and g(x) are even functions, then what type of function is y = f(x)g(x)?
a.
odd
b.
even
C. neither
d.
log 4 x log 14
d.
cannot be determined for sure
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