Use the variable u for the inside function to express each of the following as a composite function. Enclose arguments of functions in parentheses. For example, sin(2x). (a) y=(8t2−5)5 Enter your answer as a list with square brackets and terms separated by commas [u(t), y(u)], where u(t) is the inside function and y(u) is the outside function. (b) P=4e−0.9t Enter your answer as a list with square brackets and terms separated by commas [u(t), P(u)], where u(t) is the inside function and P(u) is the outside function.(c) C=4ln(q4+9) Enter your answer as a list with square brackets and terms separated by commas [u(q), C(u)], where u(q) is the inside function and C(u) is the outside function.

Question
Asked Feb 6, 2020
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Use the variable u for the inside function to express each of the following as a composite function.

 

Enclose arguments of functions in parentheses. For example, sin(2x).

 

(a) y=(8t2−5)5

 

Enter your answer as a list with square brackets and terms separated by commas [u(t), y(u)], where u(t) is the inside function and y(u) is the outside function.

 (b) P=4e−0.9t

 

Enter your answer as a list with square brackets and terms separated by commas [u(t), P(u)], where u(t) is the inside function and P(u) is the outside function.

(c) C=4ln(q4+9)

 

Enter your answer as a list with square brackets and terms separated by commas [u(q), C(u)], where u(q) is the inside function and C(u) is the outside function.

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Expert Answer

Step 1

Given: Use the variable u for the inside function to express each of the following as a composite function.

Calculus homework question answer, step 1, image 1

Step 2

concept used:

A composite function is a function that depends on another function.

Let f (x) and g(x) are two functions. they produce a new function h(x)

Calculus homework question answer, step 2, image 1

Step 3

(a)

Calculus homework question answer, step 3, image 1

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