The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
The functions are given as:
f(x) = -2(1.07)^x
Table of values for g(x)
x g(x)
−4 −10
−2 − 7
0 −4
2 1
The y-intercept is when x = 0.
So, we have:
g(0) = -4
Also, we have:
f(0) = -2(1.07)^0
f(0) = -2
-2 is greater than -4 by 2
Hence, the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
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