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How do you find the inverse of #y=3-7x# and is it a function?

Answer 1

Sadie Alexander

#f^(-1)(x)=(3-x)/7#

#f(x)=y=3-7x#

#7x=3-y#

#x=(3-y)/7#

#"Change the term 'x' as 'y' and the term 'y' as 'x' vice versa"#

#f^(-1)(x)=(3-x)/7#

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Answer 2

Greyson Brown

To find the inverse of the function ( y = 3 - 7x ), swap the roles of ( x ) and ( y ) and solve for ( y ). The resulting equation will represent the inverse function. To determine if the inverse is a function, check if each input in the original function corresponds to exactly one output in its inverse. If so, both functions are functions.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.