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3 years ago

If f(x)=x+7 and g(x)=1/x-13, what is the domain of (f0g)(x)?

Mathematics

1 answer:

aev [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Hope this helps :)

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HEEEEEEEEELP PLZZZZZZZZZZ

Ede4ka [16]

Answer:

Step-by-step explanation:

(1). ( - 3, - 1 )

(2). ( - 1, 3 )

(3). ( 2, 0 )

(4). ( 1, 0 )

8 0

3 years ago

For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i

Lostsunrise [7]

Answer:

Given the function in the question

f(x) = |x-3| + 2

a) state the name of the function

Absolute value function

since it is similar to f(x) = |x|

b) identify the independent and dependent variable

x = independent variable (input variable)

f(x) or y = dependent variable (output variable)

The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable.

c) identify the rule

A function is an equation that has only one answer for y for every x.

d) evaluate the function

given x = -5

f(-5) = |-5 - 3| + 2

= |-8| + 2

= 8 +2

= 10

8 0

3 years ago

Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = 4/x^2+9

dlinn [17]

I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is $f(x) = \frac{4}{x}, \ \ g(x) = x^2+9$

Another possible answer is $f(x) = \frac{4}{x+9}, \ \ g(x) = x^2$

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

$f(x) = \frac{4}{x}\\\\f( g(x) ) = \frac{4}{g(x)}\\\\f( g(x) ) = \frac{4}{x^2+9}$

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

4 0

3 years ago

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°

Vinvika [58]

The complete question is shown in the attached image

Answer:
measure angle H = 42°

Explanation:
There is a theorem that states that:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

In the given, we have:
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

Based on the above rule:
measure angle E = measure angle D + measure angle H

We are given that:
angle E = 87°
angle D = 45°

Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°

Hope this helps :)

3 0

3 years ago

TIME LIMITED

mrs_skeptik [129]

Answer:

Step-by-step explanation:

|<-------------- 27 ------------>|

L--------------M----------------N

18 MN

LN = LM + MN

27 = 18 + MN

MN = 27 - 18

8 0

3 years ago