Question

How do I do this?: For each pair of functions find the domain of f, g, f+g, f-g, fg, ff, f/g, and g/f. f(x)=2x+3, g(x)=3-5x

Answer 1

The domains here would be all real numbers except those that would cause division by zero.

So, for f, the domain is all reals.

Answer 2

For g, all reals. Same for f+g and f-g.

Answer 3

Same for fg and ff.

Answer 4

But for f/g it would be all reals except 3/5.

Answer 5

And for g/f it would be all reals except -3/2.

Answer 6

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