Suppose that the functions fand g are defined for all real numbers x as follows. f(x)=x-2
g(x) = 2x+2
Write the expressions for (f-g)(x) and (f. g)(x) and evaluate (f+g)(-1).

Hello i need some with trigonometric substitutions. [tex]\int\limits^a_b {x} \, dx[/tex]

45% of the trees in a park are apple trees. there are 27 apple trees in the park. how many trees are in the park in all?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?