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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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
----
fog = f[g(x)] = f[2x-5] = sqrt(2x-5)
-----
Domain: All Real Numbers >= 5/2
======================================
2. Solve the following logarithmic equation. Exact answers only.
log4(x-4)=3-log4(x+8)
---
log4(x-4)+ log4(x+8) = 3
-----
log4[(x-4)(x+8)] = 3
----
(x-4)(x+8) = 4^3
---
x^2+4x-32 = 64
---
x^2 + 4x - 96 = 0
----
Factor:
(x-8)(x+12) = 0
Positive solution:
x = 8
======================
Cheers,
Stan H.
======================
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