All categories

3 years ago

If f(x) = 2x and g(x)=1/x, what is the domain of (fg)(x)

Mathematics

1 answer:

bearhunter [10]3 years ago

7 0

Answer:

The domain is all real numbers except the number zero

Step-by-step explanation:

we have

$f(x)=2x$

$g(x)=\frac{1}{x}$

we know that

$(fg)(x)=f(g(x))=2(\frac{1}{x})$

Remember that

The denominator cannot be equal to zero

The domain is all real numbers except the number zero

In Interval notation the domain is

(-∞,0) ∪ (0,∞)

You might be interested in

Name the angle? What type of angle is it?

Norma-Jean [14]

Given the figure of an angle:

The name of the angle will be: EPX

The type of the angle: obtuse

Because it is greater than 90

6 0

9 months ago

At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% e

fredd [130]

Answer:

$A(t)=(0.902)^t \cdot 1500$ $[km^2]$

Step-by-step explanation:

In this problem, the initial area of the forest at time t = 0 is

$A_0 = 1500 km^2$

After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.

So for instance, after 1 year, the area is

$A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0$

After 2 years,

$A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0$

And so on. So, after t years, the area of the forest will be

$A(t)=(0.902)^t A_0$

And by substituting the value of A0, we can find an explicit expression:

$A(t)=(0.902)^t \cdot 1500$ $[km^2]$

8 0

3 years ago

Water coming out of a fountain is modeled by the function f(x) = −x^2 + 5x + 4 where f(x) represents the height, in feet, of the

Anastaziya [24]

Calculating x=3 and x=5, we get f(x)=10 and 4 respectively by plugging the numbers into the equation. Finding the difference and dividing by 2 (since there are 2 seconds between 3 and 5), we get 3, so the answer is either A or C. Since it doesn't only fall 3 feet, we need to specify that it is 3 feet per second, A is right!

6 0

2 years ago

Read 2 more answers

Which statements are true about the locations of points A and B? Select all that apply.

ElenaW [278]

2 or 3 and 6 is the answer idrk about the a

7 0

3 years ago

Read 2 more answers

Alyssa had 191 dollars to spend on 6 books. after buying them she had 17 dollars. how much did each book cost?

kkurt [141]

Answer: