SOLUTION: Can someone please help me with these problems. I do not even know where to start. please show all your work so I understand how you did them. Pretty please.
1.Find the domain o
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1.Find the domain o
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Question 711870: Can someone please help me with these problems. I do not even know where to start. please show all your work so I understand how you did them. Pretty please.
1.Find the domain of the composite function f o g
f(x)=sqrt x;g(x)=2x-5
2. Solve the following logarithmic equation. Exact answers only.
log4(x-4)=3-log4(x+8) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 1.Find the domain of the composite function f o g
f(x)=sqrt x;g(x)=2x-5
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fog = f[g(x)] = f[2x-5] = sqrt(2x-5)
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Domain: All Real Numbers >= 5/2
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2. Solve the following logarithmic equation. Exact answers only.
log4(x-4)=3-log4(x+8)
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log4(x-4)+ log4(x+8) = 3
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log4[(x-4)(x+8)] = 3
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(x-4)(x+8) = 4^3
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x^2+4x-32 = 64
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x^2 + 4x - 96 = 0
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Factor:
(x-8)(x+12) = 0
Positive solution:
x = 8
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Cheers,
Stan H.
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