Question: The function [tex]f(x) = 3x-4[/tex] has a range of [tex]\{-7, -1, 0, 5, 11, 20\}[/tex].
What is the domain?
Domain: [tex]\{-1, 1,\frac{4}{3} , 3, 5, 8\}[/tex]
Step-by-step explanation:
Domain is the input, and range is the output. In other words, the domain is the [tex]x[/tex] value, and the range is the [tex]f(x)[/tex] (the whole value, output). So we will solve each one step by step, all with the same solution. To reiterate, what is done for -7, for instance, will be done for every other range.
Start with -7. Remember, solve this accordingly.
Replace the [tex]f(x)[/tex] with the range
[tex]f(x) = 3x - 4\\\\=-7 = 3x - 4[/tex]
Solve
[tex]-7 + 4 = -3[/tex]
(When adding negative a to a positive, it results in a negative.)
[tex]\frac{-3}{3} = -1[/tex]
That's how you solve it.
