Answered

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If f(x) = log(3x) and g(x) = log(x - 2), what is the value of

f(g(5))? Round to the nearest thousandth.

Sagot :

Answer:

f(g(5)) = 0.156

Step-by-step explanation:

We are given the following functions:

[tex]f(x) = \log{(3x)}[/tex]

[tex]g(x) = \log{(x-2)}[/tex]

f(g(5))?

First we find g(5), and then, we find f when [tex]x = g(5)[/tex]. So

[tex]g(5) = \log{(5-2)} = \log{3} = 0.477[/tex]

[tex]f(g(5)) = f(0.477) = \log{3*0.477} = 0.156[/tex]

So

f(g(5)) = 0.156

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