Answer :
Given that f(x) is an even function and f(11) = 23, we need to determine the value of 7f(11) - 17f(-11). An even function exhibits symmetry about the y-axis, which means that for any value x, f(x) is equal to f(-x).
Therefore, f(-11) is equal to f(11) since -11 is the negative of 11. This allows us to rewrite the expression as 7f(11) - 17f(11) = 7f(11) - 17f(11).Since f(11) = 23, we can substitute this value into the expression: 7f(11) - 17f(11) = 7(23) - 17(23).
Simplifying further, we have 161 - 391 = -230. Therefore, the value of 7f(11) - 17f(-11) is -230. The evenness of the function guarantees that the values of f(11) and f(-11) are equal, allowing us to simplify the expression and obtain the final result.
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