Question

Given f(x) = 1/x+1 and g(x)--2x algebraically find the following

Answer 1

The values of the functions are f(g(4)) = 1/(2√2 + 1), g(g(2)) = 2 and g + f(2s^2) = 2s + 1/(2s^2 + 1)

How to evaluate the functions?

The functions are given as:

f(x) = 1/x + 1

g(x) = √2x

Composite function f(g(4))

Start by calculating g(4).

So, we have:

g(4) = √2 * 4

Evaluate

g(4) = 2√2

So, we have:

f(g(4)) = f(2√2)

Evaluate

f(g(4)) = 1/(2√2 + 1)

Composite function g(g(2))

Start by calculating g(2).

So, we have:

g(2) = √2 * 2

Evaluate

g(2) = 2

So, we have:

g(g(2)) = g(2)

Evaluate

g(g(2)) = √2 * 2

g(g(2)) = 2

Composite function (g + f)(2s^2)

Start by calculating g(2s^2).

So, we have:

g(2s^2) = √2 * 2s^2

Evaluate

g(2s^2) = 2s

Next, we have:

f(2s^2) = 1/(2s^2 + 1)

So, we have:

g + f(2s^2) = 2s + 1/(2s^2 + 1)

Hence, the values of the functions are f(g(4)) = 1/(2√2 + 1), g(g(2)) = 2 and g + f(2s^2) = 2s + 1/(2s^2 + 1)

Read more about composite functions at:

https://brainly.com/question/10687170

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