A linear function and its inverse are given.

Mathematics

2 answers:

jarptica [38.1K]3 years ago

7 0

Answer:

x: -5, -3, 0, 1, 4

y:-23, -15, -3, 1, 13 for the function.

x:-23, -15, -3, 1, 13

y: -5, -3, 0, 1, 4 for the inverse.

Step-by-step explanation:

we know that if we have the function f(x) = y, then the inverse of f(x) (let's call it g(x)) is such that:

g(y) = x.

now we have

y=4x-3

y=(1/4)x+3/4

The only table that works for our first function is:

x: -5, -3, 0, 1, 4

y:-23, -15, -3, 1, 13

You can see this by replacing the values of x and see if the value of y also coincides.

Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.

The second table is that one:

x:-23, -15, -3, 1, 13

y: -5, -3, 0, 1, 4

AlexFokin [52]3 years ago

6 0

Answer: B and D

x:-23, -15, -3, 1, 13

y:-5, -3, 0, 1, 4

x:-5, -3, 0, 1, 4

y:-23, -15, -3, 1, 13

Step-by-step explanation:

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