f(x) =2x-1 a) Determine the range value when the domain value is 0. b) Determine the domain value when the range value is 5.

Question

I don't remember how to solve this!

Answer 1

Greetings! Lets solve this shall we!?

If f(x) = 2x - 1 then the range(y) when the domain(x) = 0 is

y = 2(0) - 1 = -1.

A) So the range is y = -1. In interval notation, the range point is (0, -1).

B) Since the range is y = 5, then the domain is 5 = 2x - 1 such that

5 = 2x - 1

+1 +1

---------------

2x = 4

-- --

2 2

x = 2. Then the domain point is x = 2 when y = 5. So, the domain point is (2,5).

I hope this helped!

Answer 2

range value is the y value

domain value is the x value

(a) find y when x = 0   

 y = 2x-1 = 2(0)-1 = -1

y = -1

(b) find x when y = 5

5 = 2x-1

6 = 2x

x = 3