Question

1 point
in a function, an x-coordinate, 5, is mapped to a y-coordinate, 3.5. in the inverse function, what is the y-coordinate?

question 5
1 point
three coordinates of a function are shown in the table on the left, along with a table of their inverses on the right.

fill in the blanks with the correct numbers. (fill each blank with an integer.)
(a)= (b)= (c) =

Explanation:

First Question (from the top)

Step1: Recall inverse function mapping

For a function $f(x)=y$, inverse $f^{-1}(y)=x$.

Step2: Apply to given values

Original: $f(5)=3.5$, so $f^{-1}(3.5)=5$. The question asks for the y-coordinate in the inverse function, which corresponds to the original x-coordinate's mapped value in inverse.

Step1: Inverse swaps x and y values

For a function point $(x,y)$, inverse is $(y,x)$.

Step2: Find (a): match 37 to original x

Original $(1,37)$ → inverse $(37,1)$, so (a)=1.

Step3: Find (b): match 2 to original y

Original $(2,38)$ → inverse $(38,2)$, so (b)=38.

Step4: Find (c): match 39 to original x

Original $(3,39)$ → inverse $(39,3)$, so (c)=3.

Answer:

5

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Second Question (Question 5)