Let f and g be decreasing functions forall real numbers. prove
that f o g isincreasing.

Proof with Step-by-step explanation:

Since it is given that f(x) is decreasing thus we infer that

Similarly it is given that g(x) is decreasing thus we infer that

Now let

Differentiating both sides with respect to 'x' and using chain rule of differentiation we get

Now since both f'(x) and g'(x) are both negative(<0) we can infer that their product is always positive (>0)

Thus fog(x) is an increasing function.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

no because after the troops were pulled many blacks were killed by hangings lynchings and other cruel ways which in a way interrupted the reconstruction of the south and differed from the way abraham lincoln had an idea of reconstruction