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------------------------------------------------ Find the value of \( f(18) \) if \( f(x) = x^{19} - 19x^{18} + 18x^{17} + x^{5} - 19x^{4} + 18x^{3} - 17 \).

Answer :

Final answer:

To find the value of f(18) in the given function f(x), substitute x with 18 and evaluate the expression.

Explanation:

To find the value of f(18) when given the function f(x) = x^19 - 19x^18 + 18x^17 + x^5 - 19x^4 + 18x^3 - 17, we simply substitute x = 18 into the function.

By substituting the values and performing the necessary calculations, we get f(18) = 18^19 - 19(18)^18 + 18(18)^17 + 18^5 - 19(18)^4 + 18(18)^3 - 17.

Using a calculator or computer software, we can evaluate this expression to find the value of f(18).

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