Answer:
![w \\e0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z63qcr2f9lfze9mm1e6jg3fnyxhyqdpc05.png)
Explanation:
The area of a rectangle is given by:
![Area = L * \: W](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9te5x5yi4esrlcd7a2hepdriaho7rfnrsv.png)
In this case, we have the height replacing the length.
![Area=H* w](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hz9emb8mfhsez4r6rds1d9dh47oit7rbz3.png)
The area of the rectangle is 70.
![H* w = 70](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ptc3bej7dd4fid895l01uhge4e7cd0qj1c.png)
Dividing through by w gives:
![H = (70)/(w)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/c6nranvssblw6q1k47jc61xux41h5alf08.png)
Or to show that H is dependent on w, we write
![H (w)= (70)/(w)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3svt85uq0lh9ovscv4p6ml120h3pwyub5x.png)
![w \\e \: 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/inouwhs6op8umexxk6va6nqi1s800tvqh0.png)
Domain is the set of all real numbers for which the function is defined.
Therefore the domain is all real numbers except 0.