Question

Determine the domain of the function f (x) = 2x - 4 when the range is (0, 12, 20)

Answer 1

Answer:

The domain is (2,8,12)

Step-by-step explanation:

we have

$f(x)=2x-4$

we know that

The range is (0,12,20)

Find the domain

1) For f(x)=0 -----> Find the value of x

substitute the value of f(x) in the equation and solve for x

$0=2x-4$

$2x=4$

$x=2$

therefore

For f(x)=0 the domain is x=2

2) For f(x)=12 -----> Find the value of x

substitute the value of f(x) in the equation and solve for x

$12=2x-4$

$2x=12+4$

$x=8$

therefore

For f(x)=12 the domain is x=8

3) For f(x)=20 -----> Find the value of x

substitute the value of f(x) in the equation and solve for x

$20=2x-4$

$2x=20+4$

$x=12$

therefore

For f(x)=20 the domain is x=12

therefore

The domain is (2,8,12)