Respuesta :

first thing you need to do is graph this equation. Then understand what domain is(x values) and range is the (y) values.

domain: x = all real numbers
range: y = all real numbers

Answer:

[tex]\text{Domain: }(-\infty,\infty)[/tex]

[tex]\text{Range: }(-\infty,\infty)[/tex]

Step-by-step explanation:

Given: [tex]f(x)=\dfrac{3}{4}x+5[/tex]

It is linear equation whose slope is 3/4.

Domain: It is input value of x where function is defined.

Range: It is output value of y for each input value of x.

Domain of linear function is all real number.

Range of linear function is all linear number.

Because they have neither vertical nor horizontal asymptote.

[tex]\text{Domain: }(-\infty,\infty)[/tex]

[tex]\text{Range: }(-\infty,\infty)[/tex]

Hence, The Domain and Range is all real number.