Determine the domain of the following functions Express your

Determine the domain of the following functions. Express your answers using interval notation. a. f(x) = log_7(x) no answer given b. g(x) = Squareroot x - 4/x^2 + 7 no answer given c. l(x) = x - 3/(x + 8)(x + 4) no answer given d. p(x) = 1/x^2 + 9x + 14 no answer given

Solution

a) f(x)=log₇(x)

domain is (0,)

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b) g(x)=(x-4)_/(x²+7)

x-4>=0

=> x>=4

domain is [4,)

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c)l(x)=(x-3)_/(x+8)(x+4)

(x+8)(x+4)0

x-8,x-4

domain is (-,-8)U(-8,-4)U(-4,)

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d)p(x)=1_/(x²+9x+14)

p(x)=1_/(x+7)(x+2)

(x+7)(x+2)0

x-7,x-2

domain is (-,-7)U(-7,-2)U(-2,)