How do I solve this?

We conclude that the range of the function will be:

R = {5, 17, 29}

Step-by-step explanation:

Given

Given the function

f(x) = 6x-1

Given the domain

D = {0, 3, 5}

To Determine:

The range R = ?

We know that range of the function consists of all the y-values for the x-values in the domain of the function.

so substituting the values of x = 0, 3, and 5 in the function to determine the corresponding y-values.

Plug in x = 0

y = 6x-1

y = 6(0) - 1 = 6-1 = 5

Plug in x = 3

y = 6x-1

y = 6(3) - 1 = 18-1 = 17

Plug in x = 5

y = 6x-1

y = 6(5) - 1 = 30-1 = 29

Now, combine all the determined y-values which are 5, 17, and 29.

Therefore, we conclude that the range of the function will be:

R = {5, 17, 29}