The problem given is:

"Diketahui $f(x) = 2x + 8$ dan $g(x) = 4x - 8$, maka $(f \circ g)(x)$ adalah?"

This means we are tasked to find $(f \circ g)(x)$, which represents the composition of functions $f$ and $g$.

Step-by-step Solution

The composition $(f \circ g)(x)$ is defined as $f(g(x))$.

1. Given $f(x) = 2x + 8$ and $g(x) = 4x - 8$, we substitute $g(x)$ into $f(x)$: $(f \circ g)(x) = f(g(x)) = f(4x - 8)$

2. Now substitute $x$ in $f(x) = 2x + 8$ with $4x - 8$: $f(4x - 8) = 2(4x - 8) + 8$ $= 8x - 16 + 8$ $= 8x - 8$

Therefore, $(f \circ g)(x) = 8x - 8$.

The answer is:

$(f \circ g)(x) = 8x - 8$

Would you like further details or explanations?

Relative Questions

1. What is the inverse function of $f(x) = 2x + 8$?
2. How do you find the composition $(g \circ f)(x)$?
3. What are the properties of function compositions in general?
4. How can we verify if two functions are inverses of each other?
5. How does the composition of two linear functions remain linear?

Tip

When composing functions, always substitute the entire function into the variable of the other function, paying close attention to parentheses and algebraic operations to avoid mistakes.