Which of the following is true for the relation f(x) = 5x + 1? only the inverse is a function. only the equation is a function. neither the equation nor its inverse is a function. both the equation and its inverse are functions.

Both the equation and its inverse are functions.

Step-by-step explanation:

A function is relation in which one input gives one and only one output.

Here, the given function,

Which is a polynomial,

A polynomial is a function because for each input value it gives only one output value.

⇒ f(x) is a function.

Now, For finding the inverse of f(x),

Replace f(x) by y,

y = 5x + 1

Switch x and y,

x = 5y + 1

Isolate y on the left side,

-5y = 1 - x

Replace y by ,

Which is also a polynomial,

Hence, the inverse of f(x) is also a function,

Last option is correct.

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