Mathematics: Use symmetry to graph the inverse of the function.

Use symmetry to graph the inverse of the function.

Travisbennington

11.01.2022

The correct option is a.

Step-by-step explanation:

If a function is defined as

$f(x)=\{(x,y):x\in R,y\in R\}$

then the inverse of the function is

$f^{-1}(x)=\{(y,x):x\in R,y\in R\}$

We know that the graph of a function and its inverse function symmetrical about the line y=x.

Draw the line of symmetry x=y in each of the given graph.

From the below figure it is clear that only graph 1 is symmetrical about the line y=x.

Therefore the correct option is a.

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montgomerykarloxc24x

25.08.2021

There would be 19 members in the team.

Step-by-step explanation:

Given,

The original number of people in the team = 16,

Also, the size of team is increased by 19 %,

Thus, the number of new people who join the team = 19% of the original number

$=\frac{19\times 16}{100}$

$=\frac{304}{100}$

$=3.04\approx 3$

Hence, the new number of members in the team = 16 + 3 = 19.

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