## Related questions with answers

Question

A student claims that h(x) = 3x and j(x) = -3x are inverse functions. Is the student correct? Justify your answer.

Solutions

VerifiedSolution A

Solution B

Step 1

1 of 2In the definition of inverse functions, f and g are inverse functions if and only if

f(g(x))=x and g(f(x))=x on their respective domains.

Therefore, h(j(x)) and j(h(x)) should result in x. Let us check:

Answered 11 months ago

Step 1

1 of 4We have to see if $h(x)=3x$ and $j(x)=-3x$ are inverse functions.

*When are two functions inverse?*

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