The function f(x) is translated up by 2 units to get the function g(x), so the value of k is 2
How to solve for k?
The equations of the functions are given as:
f(x) = 1/x
g(x) = f(x) + k
From the graph, the function f(x) is translated up by 2 units to get the function g(x).
This means that:
g(x) = f(x) + 2
Substitute g(x) = f(x) + 2 in g(x) = f(x) + k
f(x) + 2 = f(x) + k
Subtract f(x) from both sides of the equations
2 = k
Rewrite the equation as
k = 2
Hence, the value of k is 2 because the function f(x) is translated up by 2 units to get the function g(x)
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