Question
Asked Oct 11, 2019
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Find the domain of the indicated combined function.
38) Find the domain of (fg)(x) when f(x) 3x4 and g(x)
= 9x - 5.
D) Domain: (- 0, )
B) Domain: [O, )
A) Domain:
C) Domain:
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Find the domain of the indicated combined function. 38) Find the domain of (fg)(x) when f(x) 3x4 and g(x) = 9x - 5. D) Domain: (- 0, ) B) Domain: [O, ) A) Domain: C) Domain:

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Expert Answer

Step 1

Given,

 

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f(x) 3x+4 and g(x)=9x-5

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Step 2

Therefore

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(f3)(x) f(x) g(x) = V3x +4.9x -5 (3x +4)(9x-5) = V27x2 +21x- 20

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Step 3

Now the domain is the set of al...

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27x2 +21-20 is under square root] 27x221- 20 2 0 (9x-5(3x4) 2 0 (9x -50 and 3x +420) or (9x-5 0 and 3x +4s0) 4 5 x and xs- and x or 3 3 or xs 3 5 — хе 4 or xe 3

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