g(x)	 = 	x3 − x
h(x)	 = 	(x3 − x)4
f(x)	 = 	7(x3 − x)4


We have three functions defined as follows:

1. \( g(x) = x^3 - x \)
2. \( h(x) = (x^3 - x)^4 \)
3. \( f(x) = 7(x^3 - x)^4 \)

Would you like to find derivatives, solve these functions for particular values of \( x \), or explore any specific properties of these functions (such as critical points, maximums, minimums, etc.)?

Here are some potential next steps:

1. Would you like to differentiate \( g(x) \), \( h(x) \), or \( f(x) \)?
2. Would you like to expand \( h(x) \) or \( f(x) \) for simpler forms?
3. Are you interested in solving \( g(x) = 0 \), \( h(x) = 0 \), or \( f(x) = 0 \)?
4. Do you need to evaluate these functions for specific values of \( x \)?
5. Should we analyze the graph or behavior of these functions?

### Tip:
Always simplify a function before differentiating or integrating, as it makes the process more manageable!

g(x) = x^3 − x, h(x) = (x^3 − x)^4, f(x) = 7(x^3 − x)^4

Explore the polynomial functions g(x) = x^3 − x, h(x) = (x^3 − x)^4, and f(x) = 7(x^3 − x)^4. This page covers key algebraic concepts such as polynomial composition and exponentiation, along with derivative rules like the chain rule. Suitable for students in Grades 10-12.

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