Consider two function machines that are placed as shown to the right. In parts (a) through (e), find the final output for each of the inputs. For part (f), find all g(x)=3x x for which (fog)(x)=x. g(x) a. Find the final output for 5. The final output is. (Type an integer or a simplified fraction.) b. Find the final output for √7. The final output is. (Type an exact answer, using radicals as needed.) c. Find the final output for 10. The final output is. (Type an integer or a simplified fraction.) d. Find the final output for a. The final output is e. Find the final output for The final output is (Type an integer or a simplified fraction.) f. Find all x for which (fog)(x)=x. When x = . (fog)(x)=x. (Type an integer or a simplified fraction.) f(x)=x-3 (fog)(x)
Consider two function machines that are placed as shown to the right. In parts (a) through (e), find the final output for each of the inputs. For part (f), find all g(x)=3x x for which (fog)(x)=x. g(x) a. Find the final output for 5. The final output is. (Type an integer or a simplified fraction.) b. Find the final output for √7. The final output is. (Type an exact answer, using radicals as needed.) c. Find the final output for 10. The final output is. (Type an integer or a simplified fraction.) d. Find the final output for a. The final output is e. Find the final output for The final output is (Type an integer or a simplified fraction.) f. Find all x for which (fog)(x)=x. When x = . (fog)(x)=x. (Type an integer or a simplified fraction.) f(x)=x-3 (fog)(x)
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 1PT: The population of a pad of bottlenose dolphins ismodeled by the function A(t)=8(1.17)t, where...
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Transcribed Image Text:Consider two function machines that are placed as
shown to the right. In parts (a) through (e), find the
final output for each of the inputs. For part (f), find all g(x) = 3x
x for which (fog)(x) = x.
a. Find the final output for 5.
The final output is (Type an integer or a simplified fraction.)
b. Find the final output for √7.
The final output is (Type an exact answer, using radicals as needed.)
c. Find the final output for 10.
The final output is (Type an integer or a simplified fraction.)
d. Find the final output for a.
The final output is
55100
e. Find the final output for
The final output is
f. Find all x for which (fog)(x) = x.
When x =
(Type an integer or a simplified fraction.)
g(x)
(fog)(x)=x. (Type an integer or a simplified fraction.)
f(x)=x-3
(fog)(x)
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