Answer: Choice C
f(x) - 1 and g(x) + 1
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Step-by-step explanation:
Plug x = 0 into f(x)
f(x) = 4x + 1
f(0) = 4(0) + 1
f(0) = 1
The y intercept of f(x) is 1
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Now plug x = 0 into g(x)
g(x) = 3^x - 2
g(0) = 3^0 - 2
g(0) = -1
The y intercept of g(x) is -1
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Note how the y intercepts are 2 units apart.
Each of the answer choices are in the form of f(x) + M and g(x) + N. The goal is to see which M and N values will be 2 units apart. In this case, that would be choice C where M = -1 and N = 1
We see that f(x) - 1 = f(0) - 1 = 1 - 1 = 0 and g(x) + 1 = g(0) + 1 = -1 + 1 = 0
Therefore, f(x) - 1 and g(x) + 1 have the same y intercept of 0.