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Select the correct answer.

Consider this function.

Which graph represents the inverse of function f?

The linear function on a coordinate plane passes through (4, 0.3), and (minus 3, minus 2) which intercepts the axis at (3, 0), and (0, minus 1).
W. The linear function on a coordinate plane passes through (1.8, minus 2), and (2, minus 3) which intercepts the axis at (0, 3), and (0, 1).
X.
The linear function on a coordinate plane passes through (minus 3, 2), and (1, 0.8) which intercepts the axis at (0, 1), and (3, 0).
Y. The linear function on a coordinate plane passes through (2, 3), and (0.8, minus 1) which intercepts the axis at (0, 1), and (0, minus 3).
Z.
A.
W
B.
X
C.
Y
D.
Z

User Lubosdz
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1 Answer

6 votes
mmI can't see the graphs mentioned in the question. However, I can provide you with some guidance on how to identify the inverse of a function.

To find the inverse of a function, you need to swap the roles of x and y and then solve for y. In other words, replace f(x) with y, interchange x and y, and solve for y.

Let's say the given function is f(x), and its inverse is f^(-1)(x).

To determine which graph represents the inverse of function f, you can do the following:

Identify the points on the graph of function f, which will be of the form (x, f(x)).
Swap the x and y values for each point to get the points for the inverse function f^(-1)(x), which will be (f(x), x).
Plot these points on the coordinate plane.
The graph that represents the inverse function f^(-1)(x) will be the reflection of the original graph over the line y = x.

So, look for the graph that appears as a reflection of the original function's graph over the line y = x.

Without seeing the graphs, I cannot provide the exact answer. Please refer to the graphs and follow the steps mentioned above to identify the correct graph that represents the inverse of function f.
User Galeb Nassri
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