Question
Asked Nov 4, 2019
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Determine the domain of f(x). Give your answer using interval notation
4
if -1 xs 6
x2 12x27
4х + 5
f(x)
if x > 6
Domain:
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Determine the domain of f(x). Give your answer using interval notation 4 if -1 xs 6 x2 12x27 4х + 5 f(x) if x > 6 Domain:

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Expert Answer

Step 1

Consider the given piecewise function,

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4 if -1sx6 f(x)x-12x+27 | 4x+5 if x 6

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Step 2

Now, consider the first piecewise function and find its domain,

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4 (x) if -1x6 x2 -12x 27 the undefined or singularity points are, x12x27= 0 — Зх —9х + 27 -0 х x(х-3)-9(х- 3) -0 (x-3)x-9) 0 But in 1x6 the undefined point is Thus, domain off(x) in -1xs6 is xE[-1,3)U(3,6]

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Step 3

Also consider the second piecewise f...

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f(x) 4x+5 if x>6 Here, f (x)is defined for all value ofx But in x6 the domain off, (x) is χε (6,ο)

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Advanced Math