Given the functions f(x) = 3x and g(x) = x² + 1, find [(gºf)(x)]- [(fºg)(x)].

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

7 0

Answer:

6x^2 - 2

Step-by-step explanation:

plug in f(x) into the g(x) formula given

g(f(x)) = (3x)^2 + 1

simplify

= 9x^2+2

plug in g(x) into the f(x) formula given

f(g(x)) = 3(x^2+1)

distribute

= 3x^2 +3

set g(f(x)) - f(g(x))

(9x^2+2) - (3x^2+3)

carry the negative

9x^2+2-3x^2-3

simplify by combining like terms

6x^2-2

You might be interested in

F(x) = -1/4x + 2 what Is the domain <br>

eimsori [14]

Answer:

I'm not good with this stuff myself... lol

Step-by-step explanation:

All real numbers. X€R

4 0

3 years ago

2. Stuff Mart sells ice cream toppings in two

mixas84 [53]

Each of the toppings cost 2$

3 0

2 years ago

A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.

Finger [1]

Answer:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

For this cae that one buggy whip would be defective is $p = \frac{5}{20}=0.25$