Select the correct answer. Consider the graph of the function $ f(x) = 10^x $. What is the y-intercept of...

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Select the correct answer. Consider the graph of the function $ f(x) = 10^x $. What is the y-intercept of function $ g $ if $ g(x) = -4f(x) + 12 $? ○ (0, -4) ○ (0, 8) ○ (0, 1) ○ (0, 12)

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Solution:The y-intercept of a function is found by evaluating the function at $ x = 0 $.Given $ f(x) = 10^x $, we find $ f(0) = 10^0 = 1 $.Substitute $ f(0) $ into $ g(x) = -4f(x) + 12 $:$ g(0) = -4(1) + 12 = -4 + 12 = 8 $.Therefore, the y-intercept of $ g(x) $ is $ (0, 8) $.(0, 8)

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Select the correct answer. Consider the graph of the function \( f(x) = 10^x \). What is the y-intercept of...

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