1.04 - Composite Functions Notes

Poll

Which shape best describes you?

Reorder

LET'S REVIEW

Drag and drop the steps for solving for a functions inverse in the correct order.

• Replace $$f\left(x\right)$$ with y

• Switch x and y

• Solve for y

• Replace y with $$f^{-1}\left(x\right)$$

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Drag and Drop

Given $$f\left(x\right)=\sqrt[]{x}$$ and $$g\left(x\right)=2x$$



$$f\left(g\left(x\right)\right)=$$ ​ ​ ​

Placeholder

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Drag these tiles and drop them in the correct blank above

Dropdown

Domain is the set of all ​

Select answer

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Range is the set of all ​

Select answer

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​Graph in DESMOS!!

Open Ended

Looking at Mrs. Crain's work, are functions f(x) and g(x) inverses? EXPLAIN why or why not.