Final answer:
To determine y(8) to the nearest tenth, substitute 8 for x in the given function y(x) = 9 / (5x^{x^5}) and calculate the expression.
Step-by-step explanation:
Function substitution is a technique used in calculus and algebra to simplify expressions or make it easier to solve equations. It involves replacing a variable or expression within a function with a new variable or expression. This substitution is often chosen strategically to simplify the overall expression or make the integration/differentiation process more manageable.
To determine y(8) to the nearest tenth, we need to substitute 8 for x in the function. Using the given function y(x) = 9 / (5x^{x^5}), we have:
y(8) = 9 / (5(8)^{8^5})
Calculating this expression gives us approximately 0.0000011 to the nearest tenth.