a) For all real values of X (except for X = 4/7), function f1 is defined by %D 3 fi(X) = 4 – 7X Build fi using the primitive steps. b) a is a fixed constant. For all real values of X, function f2 is defined by f2(X) = 9 – 4(a + X)² Build f2 using the primitive steps. c) b is a fixed constant. For all real values of X, function f3 is defined by -6 f3(X) = 8 – - b+5X3 Build f3 using the primitive steps.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Build the following functions using the following "primitive" functions:
• Functions with the form g(X) = X + c where c is any constant quantity.
• The function g(X) = -X.
• Functions with the form g(X)= c - X where c is any constant quantity.
• Functions with the form g(X) = kX where k is any constant quantity.
• Functions with the form g(X) = where k is any constant quantity.
• Functions with the form g(X) = where k is any constant quantity.
• Functions with the form g(X) = Xk where k is an arbitrary integer.
For example, with a and b as fixed constants, the function f(X) = a – 6(-3b+X)² is built up as follows:
f(X) can be re-expressed as:
f(X) = -6(X + (-36))² + a
so f(X) is the following sequence of functions:
f(X) = 94(g3(92(91 (X))))
where gi (X) — х +(-3b), 92(X) — X?, дз(X) — -6X, and ga(X) — X+а.
Build
up
the following functions. You may simplify or manipulate the expressions before building them:
a) For all real values of X (except for X = 4/7), function fi is defined by
f1(X) =
4 – 7X
Build fi using the primitive steps.
b) a is a fixed constant. For all real values of X, function f2 is defined by
f2(X) = 9 – 4(a + X)²
Build f2 using the primitive steps.
c) b is a fixed constant. For all real values of X, function f3 is defined by
-6
f3(X)
b+5X3
Build f3 using the primitive steps.
Transcribed Image Text:Build the following functions using the following "primitive" functions: • Functions with the form g(X) = X + c where c is any constant quantity. • The function g(X) = -X. • Functions with the form g(X)= c - X where c is any constant quantity. • Functions with the form g(X) = kX where k is any constant quantity. • Functions with the form g(X) = where k is any constant quantity. • Functions with the form g(X) = where k is any constant quantity. • Functions with the form g(X) = Xk where k is an arbitrary integer. For example, with a and b as fixed constants, the function f(X) = a – 6(-3b+X)² is built up as follows: f(X) can be re-expressed as: f(X) = -6(X + (-36))² + a so f(X) is the following sequence of functions: f(X) = 94(g3(92(91 (X)))) where gi (X) — х +(-3b), 92(X) — X?, дз(X) — -6X, and ga(X) — X+а. Build up the following functions. You may simplify or manipulate the expressions before building them: a) For all real values of X (except for X = 4/7), function fi is defined by f1(X) = 4 – 7X Build fi using the primitive steps. b) a is a fixed constant. For all real values of X, function f2 is defined by f2(X) = 9 – 4(a + X)² Build f2 using the primitive steps. c) b is a fixed constant. For all real values of X, function f3 is defined by -6 f3(X) b+5X3 Build f3 using the primitive steps.
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