can you show me step by step how tot find the domain of a function like this h(x)=7x-2

In this case your function are straight line.

Domain of straight line : (-infinity,infinity)

OR

all values of x

How do you know that

Certainly! To find the domain of a function, you'll need to consider any restrictions on the possible input values. For the function h(x) = 7x - 2, there are no explicit restrictions or limitations. In other words, any real number can be used as input for x.

Therefore, the domain of the function h(x) = 7x - 2 is the set of all real numbers, or (-∞,∞).