The expression given in the image is:

$(f \circ g)(x) = 5(3x - 1)^3$

This represents the composition of two functions, $f(x)$ and $g(x)$, such that $(f \circ g)(x) = f(g(x))$.

To find $f(x)$ and $g(x)$, let's analyze the structure of the composition:

1. The inner function $g(x)$ should correspond to the part inside the parentheses: $g(x) = 3x - 1$.

2. The outer function $f(x)$ should operate on $g(x)$, which means $f(x)$ would take an input $x$ and raise it to the third power, then multiply by 5. Hence, $f(x) = 5x^3$.

Thus, we can conclude:

• $g(x) = 3x - 1$
• $f(x) = 5x^3$

Would you like further details or have any questions?

Here are some related questions:

1. How do you verify a composition of functions?
2. Can you find the inverse functions of $f(x)$ and $g(x)$?
3. What happens if the order of composition is reversed, i.e., $g(f(x))$?
4. How would you graph the functions $f(x)$ and $g(x)$?
5. Can you apply the chain rule to differentiate $(f \circ g)(x)$?

Tip: When working with function compositions, always start by identifying the inner and outer functions.