Answer:
\(\text{Domain: }(-\infty,\infty)\)
\(\text{Range: }(-\infty,\infty)\)
Step-by-step explanation:
Given: \(f(x)=\dfrac{3}{4}x+5\)
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.
\(\text{Domain: }(-\infty,\infty)\)
\(\text{Range: }(-\infty,\infty)\)
Hence, The Domain and Range is all real number.
