Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.