F(x)/g(x) = (2x +3)(x -1)/(x -1) = 2x +3 . . . . . x ≠ 1

The domain of (f/g)(x) is all real numbers except 1.

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The domain of any rational function necessarilly excludes any values that make the function undefined, that is, that make the denominator zero.

3 0

3 years ago

In 2012, the population of a city was million. The exponential growth rate was % per year.

saul85 [17]

Answer:

In 2012, the population of a city was 5.72 million.

Step-by-step explanation:

6 0

3 years ago

Can someone help me? It's urgent and thank you!

Irina-Kira [14]

Answer:

option A

Step-by-step explanation:

$\frac{x+ 3}{12x} \ \cdot \ \frac{4x}{x^2 +x - 6}\\\\= \frac{x+ 3}{12x} \ \cdot\ \frac{4x}{x^2 +3x - 2x - 6}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{x(x + 3) -2(x+3)}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{(x + 3)(x -2)}\\\\= \frac{1}{12x} \ \cdot \ \frac{4x}{(x - 2)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\\\= \frac{1}{3} \ \cdot \ \frac{1}{(x - 2)}\\\\= \frac{1}{3(x - 2) }$

5 0

3 years ago

C) How long is the potato in the air? *hint set h=0*<br> if h=-2(t-3)2+32

Galina-37 [17]

Answer:

if you meant to put $(t-3)^{2}$ , then the answer is 7

Step-by-step explanation:

h=-2 $(t-3)^{2}$ +32

solve for t

0=-2 $(t-3)^{2}$ +32

subtract 32 from both sides

-32=-2 $(t-3)^{2}$

divide both sides by -2

16= $(t-3)^{2}$

find suare root of 16

4= t-3

add 3 to both sides

7 = t

6 0

3 years ago