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a. Write a function f that determines the circumference of a circle in cm, C, in terms of the radius of the circle in cm, r. f(r) = Preview b. Write a function q that determines the radius of a circle in cm, r, in terms of the circumference of the circle in cm, C. 9(C) = Preview c. Using your answers to parts (a) and (b), evaluate the following expressions: i. f(g(24)) : Preview ii. g(f(24)) = Preview iii. f(9(134.5)) Preview iv. g(f(134.5)) : Preview v. f(g(C)) = Preview %3D vi. 9(f(r)) = Preview %3D Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 5: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 6: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 7: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question

a. Write a function f that determines the circumference of a circle in cm, C, in terms of the radius of the circle in cm, r. f(r) = Preview b. Write a function q that determines the radius of a circle in cm, r, in terms of the circumference of the circle in cm, C. 9(C) = Preview c. Using your answers to parts (a) and (b), evaluate the following expressions: i. f(g(24)) : Preview ii. g(f(24)) = Preview iii. f(9(134.5)) Preview iv. g(f(134.5)) : Preview v. f(g(C)) = Preview %3D vi. 9(f(r)) = Preview %3D Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 5: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 6: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 7: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
SectionA.3: Introduction To Functions
Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....
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a. Write a function f that determines the circumference of a circle in cm, C, in terms of the radius of the circle in cm, r. f(r) = Preview b. Write a function g that determines the radius of a circle in cm, r, in terms of the circumference of the circle in cm, C. g(C) = Preview c. Using your answers to parts (a) and (b), evaluate the following expressions: i. f(g(24)) = Preview ii. g(f(24)) = Preview iii. f(g(134.5)) = Preview iv. g(f(134.5)) Preview v. f(g(C)) = Preview vi. g(f(r)) Preview Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 5: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 6: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 7: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 8: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question
Transcribed Image Text:a. Write a function f that determines the circumference of a circle in cm, C, in terms of the radius of the circle in cm, r. f(r) = Preview b. Write a function g that determines the radius of a circle in cm, r, in terms of the circumference of the circle in cm, C. g(C) = Preview c. Using your answers to parts (a) and (b), evaluate the following expressions: i. f(g(24)) = Preview ii. g(f(24)) = Preview iii. f(g(134.5)) = Preview iv. g(f(134.5)) Preview v. f(g(C)) = Preview vi. g(f(r)) Preview Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 5: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 6: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 7: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 8: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question
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