diketahui f(x) = X^2 g(x) = 4X ditanya (fOg) (-2)

To solve the problem, we need to find the value of the composite function \((f \circ g)(-2)\). This means we first evaluate \(g(-2)\) and then use that result to evaluate \(f\).

Given the functions:

\[
f(x) = x^2
\]
\[
g(x) = 4x
\]

We first find \(g(-2)\):

\[
g(-2) = 4(-2) = -8
\]

Now, we use this result to find \(f(g(-2)) = f(-8)\):

\[
f(-8) = (-8)^2 = 64
\]

Therefore, \((f \circ g)(-2) = 64\).

### Summary:
\[
(f \circ g)(-2) = 64
\]

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. What is \((g \circ f)(x)\) and how would you compute \((g \circ f)(-2)\)?
2. How do you find the composite of three functions, such as \((f \circ g \circ h)(x)\)?
3. What happens to the composite function if both \(f(x)\) and \(g(x)\) are linear?
4. Can you find the inverse of the composite function \((f \circ g)(x)\)?
5. What are the domain and range of the composite function \((f \circ g)(x)\)?

**Tip:** When evaluating composite functions, always start with the innermost function and work outward.

Learn how to compute the composite function (f ◦ g)(-2) using the functions f(x) = x^2 and g(x) = 4x. Follow a step-by-step solution to find (f ◦ g)(-2) = 64, covering the concept of composite functions. Suitable for high school students studying algebra and function composition.

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