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The expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5
The expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5
The required function from the given options will be 1/5(5x-25)+5: Option B is correct.
Given the functions f(x)=5x-25 and g(x)=1/5x+5, in order to find which expression to be used to verify that they are inverse of each other we will find the composite function g(f(x))
Given the functions
[tex]f(x)=5x-25\\g(x)=1/5x+5[/tex]
g(f(x)) = [tex]\frac{1}{5}(5x-25) - 25\\[/tex]
Note that the function f(x) was directly substituted as variable x in g(x)
Hence the required function from the given options will be 1/5(5x-25)+5
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