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If f (x) = 5 x minus 25 and g (x) = one-fifth x 5, which expression could be used to verify g(x) is the inverse of f(x)? one-fifth (one-fifth x 5) 5 one-fifth (5 x minus 25) 5 startfraction 1 over (one-fifth x 5) endfraction 5 (one-fifth x 5) 5

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shubhamchouhanvrVT

We study if the composition of both functions equals the identity ("x") that is if f(g(x)=x

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The composition of the two functions should render 'x" if one is the inverse of the other. That is, we need to find what f(g(x))  renders. Notice as well that the same verification could be done by examining g(f(x) .

Let's work with f(g(x).

[tex]f(g(x)=f(\dfrac{1}{5}+5)\\\\f(g(x)=5(\dfrac{1}{5}x+5)-25\\\\f(g(x)=x+25-25\\\\f(g(x)=x[/tex]

So we see that the composition of both functions indeed renders "x", and that way we have verified that one is the inverse of the other.

To know more about Function follow

https://brainly.com/question/4025726

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