Respuesta :
the range is the y-component of the function
the function looks like it just consists of 4 points which have y-coordinates of 11.4, 15,17, and 29
so in order to find domain (x-component of the function), you just substitute each y value, and find the corresponding x-value
11.4 =4x -3
14.4=4x
x=14.4/4
15=4x-3
18=4x
x= 18/4
etc etc
the function looks like it just consists of 4 points which have y-coordinates of 11.4, 15,17, and 29
so in order to find domain (x-component of the function), you just substitute each y value, and find the corresponding x-value
11.4 =4x -3
14.4=4x
x=14.4/4
15=4x-3
18=4x
x= 18/4
etc etc
range is the output
basically
f(x)=range
just solve for the values of x that make them true
just solve
4x-3=11.4
4x-3=15
4x-3=17
4x-3=29
those values aer the domain
solving each
add 3 to both sides
4x=14.4
4x=18
4x=20
4x=32
divide both sides by 4
x=3.6
x=4.5
x=5
x=8
the domain is D={3.6, 4.5, 5, 8}
basically
f(x)=range
just solve for the values of x that make them true
just solve
4x-3=11.4
4x-3=15
4x-3=17
4x-3=29
those values aer the domain
solving each
add 3 to both sides
4x=14.4
4x=18
4x=20
4x=32
divide both sides by 4
x=3.6
x=4.5
x=5
x=8
the domain is D={3.6, 4.5, 5, 8}