1. **State the problem:** Find the equation of the tangent line to the function $y = f(g(x))$ at $x = a$. Use the Chain Rule to calculate $\frac{dy}{dx}$. 2. **Define the inner function:** Let $g(x)$ be the inner function. For example, if $y = f(g(x))$, then $g(x)$ is the function inside $f$. 3. **Differentiate the inner function:** Compute $g'(x) = \frac{dg}{dx}$. 4. **Use the chain rule:** The derivative of $y$ with respect to $x$ is $\frac{dy}{dx} = f'(g(x)) \cdot g'(x)$. 5. **Compute the slope of the tangent at $x=a$:** Evaluate $m = \frac{dy}{dx}\bigg|_{x=a} = f'(g(a)) \cdot g'(a)$. 6. **Evaluate the point on the curve at $x=a$:** Find $y_0 = f(g(a))$. 7. **Write the equation of the tangent line in point-slope form:** $$y - y_0 = m(x - a)$$ 8. **Simplify to slope-intercept form:** $$y = m x + (y_0 - m a)$$