All categories

2 years ago

P(x)=x-3 g(x) = 2x-5 Find the following. (p ° q)(5)= and (q ° p)(5)=

Mathematics

1 answer:

deff fn [24]2 years ago

8 0

Answer:

(p∘q)(5) = 2

(q∘p)(5) = -1

Step-by-step explanation:

The composition of functions can be written a little differently, perhaps making it easier to understand.

(p∘q)(x) = p(q(x))

(p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3

(p∘q)(5) = 2

(q∘p)(5) = q(p(5)) = q(2) = 2·2 -5

(q∘p)(5) = -1

You might be interested in

3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.

Oduvanchick [21]

The exact area of triangle ABC is 93.51 cm².

The given parameters;

Height of the triangle, h = 18 cm

The base of the triangle is calculated by using trigonometry ratio as follows;

$tan (30) = \frac{b}{18} \\\\$

where;

b is the base of the triangle ABC

$b = 18 \times tan(30)\\\\b = 10.39 \ cm$

The area of the triangle ABC with the calculated base and given height is calculated as follows;

$A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2$

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: brainly.com/question/23945265

3 0

2 years ago

F(x) = 3x^2 + 10x -25 g(x) = 9x^2 -25 Find (f/g)(x)

anzhelika [568]

the quotient will be x+3 and remainder is x^2+10x-100

MARK ME BRAINLIEST PLEASE

3 0

1 year ago

Y= 1/2x+ 2 to make the x the subject.

timofeeve [1]

Answer:

$x=2y-4$

Step-by-step explanation:

$y=\frac{1}{2} x+2$

"To make x the subject" means to have the equation with all the terms in x on one side. As of now, y is the subject of the equation.

You start by subtracting 2 from both sides, you should get the following.

$y-2=\frac{1}{2} x$

Then you multiply by 2 from both sides, you should end up with the following.

$2(y-2)=x$

Therefore, you get the following.

$x=2(y-2)$

Finally, you distribute and get the answer.

$x=2y-4$

5 0

2 years ago

Part 2

ahrayia [7]

Answer:

B. 236.3

Step-by-step explanation:

Population density can be found by dividing the number of people by the area of the land.

number of people / land area

The population is 20,510 people and the area is 86.8 square miles.

20,510 people / 86.8 square miles

Divide 20,510 by 86.8

236.290323 people /square mile

Round to the nearest tenth. The 9 in the hundredth place tell us to round the 2 to a 3 in the tenth place.

236.3 people/ square mile

There are 236.3 people per square mile and B is correct.

6 0

2 years ago

PLZ NEED HELP QUESTION IN THE PICUTRE

notsponge [240]

Answer:

Option B

Step-by-step explanation:

Congruent Triangles

The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both triangles are congruent, then the two triangles are similar.

The triangles $\Delta LKN\ and\ \Delta KNM$ are congruent if the relation between LK and KN is the same as the relation between KN and MN, that is

$\displaystyle \frac{4}{2}=\frac{2}{MN}$

It means that

MN=1

Option B

6 0

3 years ago