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A linear function and its inverse are given.

y=4x-3

y=1/4x+3/4

Which tables could be used to verify that the functions are inverses of each other? Select two options.


x:1, 3, 5, 7, 9
y:1, 3, 5, 7, 9

x:-23, -15, -3, 1, 13
y:-5, -3, 0, 1, 4

x:-18, -12, 0, 3, 9
y:-24, -18, -6, -3, 3

x:-5, -3, 0, 1, 4
y:-23, -15, -3, 1, 13

x:-24, -18, -6, -3, 3
y:-18, -12, 0, 3, 9

User Netlemon
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2 Answers

5 votes

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

Explanation:

A linear function and its inverse are given. y=4x-3 y=1/4x+3/4 Which tables could-example-1
User Martineau
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4.5k points
4 votes

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.

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

User Nabil
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