Question

What are the domain and range of the function f(x) = 3/4x + 5?

Answer 1

Domain: (-∞,∞)
Range: (-∞,∞)

Answer 2

Domain is (-∞,∞)

Range is (-∞,∞)

Explanation:

f(x)= 3/4 x +5

`f(x) = (3)/(4) x+5`

Given f(x) is a linear function

Domain is the set of x values for which the function is defined

For all linear function there is no restriction for x , so domain of linear function is the set of all real number

Domain is (-∞,∞)

Range is the set of all y values for which the function is defined

for range there is no restriction for y, for all x value there is a y value

So range is the set of all real numbers.

Range is (-∞,∞)