Question
Asked Nov 8, 2019
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6. Find the domain of the following functions
2т - 3
(a) f(r)
V2I-3-I
10
(b) f(r)
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6. Find the domain of the following functions 2т - 3 (a) f(r) V2I-3-I 10 (b) f(r)

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Expert Answer

Step 1

a). Given

2х -3
S(к) —
2-3
3 -х
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2х -3 S(к) — 2-3 3 -х

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Step 2

The domain is the set of all real numbers except where the expression is undefined.

That is,

2-3-x 0 and 3-x20
3-x 2 and x3
x 1 and x<3
xland x (-a,3]
x(,3-1
Domain of f(x) is (-o , 3]-{1}
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2-3-x 0 and 3-x20 3-x 2 and x3 x 1 and x<3 xland x (-a,3] x(,3-1 Domain of f(x) is (-o , 3]-{1}

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Step 3

b). Give...

V10 — х + Vx + 2
f(x)
x-5
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V10 — х + Vx + 2 f(x) x-5

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