Answer :
Final answer:
To find the x-value of the corresponding coordinate on g(x), substitute the given x-value into the equation g(x) = f(2x-10). The x-value provided in the options is 26, 74, 21, and 69. By substituting x=26 into the equation, we have g(x) = f(2(26)-10) = f(42). Therefore, the correct answer is 26.
Explanation:
In order to find the x-value of the corresponding coordinate on g(x), we need to substitute the given x-value into the equation g(x) = f(2x-10). The x-value provided in the options is 26, 74, 21, and 69. We need to determine which one is correct.
By substituting x=26 into the equation, we have g(x) = f(2(26)-10) = f(42). Since the x-intercept of f(x) is 32, the x-value of the corresponding coordinate on g(x) must be 26.
Therefore, the correct answer is 26.
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