The value of k in g(x) = 5^x + k is -7
How to determine the value of k?
The complete question is added as attachment
The functions are given as:
f(x) = 5^x
g(x) = 5^x + k
From the attached graph, we can see that:
f(x) is shifted down by 7 units to form g(x)
This means that:
g(x)= f(x) - 7
This gives
g(x) = 5^x - 7
Substitute g(x) = 5^x - 7 in g(x) = 5^x + k
5^x + k = 5^x - 7
This gives
k = -7
Hence, the value of k in -7
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