If f is a function increasing for all values of x, g is a function decreasing for all values of x, describe the behavior of h(x) = f(g(- a. always increasing b. always decreasing c. increasing if x> 0, decreasing if x< 0 d. decreasing if x> 0, increasing if x< 0

is increasing.

Step-by-step explanation:

I'll try to give you an intuition - although informal, of course. If is a decreasing function, then means to read the graph of "backwards", and thus making it increasing. At that point, is a composition of two increasing function, and is thus increasing.

Now, for a formal answer, let's simply pick two inputs (we will assume that the range of is part of the domain of , otherwise you couldn't compute )

Since is decreasing, we have

But we want to compute , so we have

Since is increasing, we have

and thus

So, we've shown that, given two inputs , the images are in the same order:

This, by definition, means that is an increasing function.

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x