Evaluate the following functions at the given values, and simplify the resultant expressions: a) For all real values of X, function f1 is defined by fi(X) 3D 7— 5Х Evaluate and simplify f1(8) b) For all real values of X, function f2 is defined by f2(X) = (X +4)(7 – 3X) Evaluate and simplify f2(-3) c) b is a fixed constant. For all real values of X, function f3 is defined by f3(X) = (b+ 4)(X – 2) - Evaluate and simplify f3(b – 2) d) For all real values of X (except for X = -1), function f4 is defined by 3 – 4X fa(X) = X +1 Evaluate and simplify f4(-2) e) a and c are fixed constants. For all real values of X, function fs is defined by fs(X) %3D X (а— с) — 4а + Зс - Evaluate and simplify fs(3) f) a is a fixed constant, and a + 0. For all real values of X (except for X = 0), function f6 is defined by 5X — 2а f6(X) = aX Evaluate and simplify f6(-2a)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Evaluate the following functions at the given values, and simplify the resultant expressions:
a) For all real values of X, function fi is defined by
f1(X) = 7 – 5X
Evaluate and simplify f1(8)
b) For all real values of X, function f2 is defined by
f2(X) = (X + 4)(7 – 3X)
Evaluate and simplify f2(-3)
c) b is a fixed constant. For all real values of X, function f3 is defined by
f3(X) = (b+ 4)(X – 2)
Evaluate and simplify f3(b – 2)
d) For all real values of X (except for X = –
-1), function f4 is defined by
3 – 4X
f4(X) =
X +1
Evaluate and simplify f4(-2)
e) a and c are fixed constants. For all real values of X, function f; is defined by
f6(X) 3D X(а —с) — 4а + Зс
Evaluate and simplify f5(3)
f) a is a fixed constant, and a 0. For all real values of X (except for X = 0), function fe is defined by
5X — 2а
fo(X) =
aX
Evaluate and simplify f6(-2a)
Transcribed Image Text:Evaluate the following functions at the given values, and simplify the resultant expressions: a) For all real values of X, function fi is defined by f1(X) = 7 – 5X Evaluate and simplify f1(8) b) For all real values of X, function f2 is defined by f2(X) = (X + 4)(7 – 3X) Evaluate and simplify f2(-3) c) b is a fixed constant. For all real values of X, function f3 is defined by f3(X) = (b+ 4)(X – 2) Evaluate and simplify f3(b – 2) d) For all real values of X (except for X = – -1), function f4 is defined by 3 – 4X f4(X) = X +1 Evaluate and simplify f4(-2) e) a and c are fixed constants. For all real values of X, function f; is defined by f6(X) 3D X(а —с) — 4а + Зс Evaluate and simplify f5(3) f) a is a fixed constant, and a 0. For all real values of X (except for X = 0), function fe is defined by 5X — 2а fo(X) = aX Evaluate and simplify f6(-2a)
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