All categories

3 years ago

Let f(x) = 16 - x^2, g(x) = 4 - x. Find (fg)(x) and its domain.

Mathematics

1 answer:

timofeeve [1]3 years ago

5 0

Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

You might be interested in

Write an equation in terms of x. Solve the equation. Then find AB and BC.

Wittaler [7]

The answer is AB=7×+2

6 0

2 years ago

I need help plz help

VashaNatasha [74]

twice as many cats (as) dogs.

c = 2d [not true]

Three less than twice as many cats (as) dogs.

c = 2d - 3

210 combined,

c + d = 210

Subtracting,

-d = 2d - 3 - 210

-3d = -213

d = 71

Answer: 71

7 0

3 years ago

Find AB PLSSS HELP. BRAINLIEST

vodka [1.7K]

Since C is 61 degrees, A is 90 degrees because of the right angle, and B would be 29 degrees because you add 61 and 90 together and subtract that amount from 180.

Wait I'm sorry if this is what you aren't looking for-

4 0

3 years ago

Tow ordinary fair dice are rolled completely in the tree diagram. Work out the probability that exactly one of the dice lands on

Lostsunrise [7]

Answer:

1/3 (one third)

Because there are only 4 numbers on 2 die that have numbers less than 3 so 4 twelfths equals one third

Step-by-step explanation:

6 0

2 years ago

A 5 metre long ladder is placed against a wall. It reaches

Juliette [100K]

<h3>given</h3>

5m long ladder placed against 4.3m up the wall.

the angle between the ladder and the ground.

<h3>solution:</h3>

Based on the given conditions, formulate:

sin⁡x=4.3÷5

Evaluate the equation/expression:

x= 1.03527 or 2.10632

x= 1.03527°

or x= 2.10632°

6 0

2 years ago