All categories

2 years ago

What is the domain of g/f if

Mathematics

1 answer:

schepotkina [342]2 years ago

5 0

The domain of g(f(x)) is all the real numbers.

f(x) = x-5
g(x) = x²
In mathematics, function composition is an operation that takes two functions, f and g, and creates a function, h = g(f(x)), such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.
g(f(x)) = g(x-5)
g(f(x)) = (x-5)²
The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function.
To find the domain, we find the values for which the function is defined in real values.
g(f(x)) is defined when (x-5)² is defined.
(x-5)² is defined for all the real numbers.

To learn more about domain, visit :

brainly.com/question/28135761

#SPJ9

You might be interested in

25/3·20/3 plz help its ez

LUCKY_DIMON [66]

Answer:

55.5555555556

or 55.5 Repenting

or 60 over 75

4 0

3 years ago

Read 2 more answers

If -6x + 1 = -11 then x = -2<br> true or false

leva [86]

Answer:

False

Step-by-step explanation:

p(×)= -6x+1=-11

p(-2)= -6×-2+1=11

LHS=13

RHS=11

LHS≠RHS

Answer: false

5 0

2 years ago

The admission fee at an amusement park is $2.00 for children and $6.80 for adults. On a certain day, 388 people entered the park

san4es73 [151]

Answer: 188 children and 200 adults were admitted

Step-by-step explanation:

Let x represent the number of children that were admitted.

Let y represent the number of adults that were admitted.

On a certain day, 388 people entered the park. It means that

x + y = 388

The admission fee at the amusement park is $2.00 for children and $6.80 for adults. The admission fees collected on that day totaled $1736. It means that

2x + 6.8y = 1736- - - - - - - - - - 1

Substituting x = 388 - y into equation 1, it becomes

2x + 6.8y = 1736

2(388 - y) + 6.8y = 1736

776 - 2y + 6.8y = 1736

- 2y + 6.8y = 1736 - 776

4.8y = 960

y = 960/4.8

y = 200

x = 388 - y = 388 - 200

x = 188

4 0

3 years ago

Given points F(3,1), G(5,2) H(2,4), and J(1,6)

Karo-lina-s [1.5K]

The slopes of perpendicular lines are opposite reciprocals

The true statement is that segments FG and HJ are perpendicular

<h3>How to determine the relationship between the segments</h3>

The coordinates of the points are given as:

F = (3,1)

G = (5,2)

H = (2,4)

J = (1,6)

Start by calculating the slopes of FG and HJ using the following slope formula

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$FG = \frac{2 -1}{5 -3}$

$FG = \frac{1}{2}$

Also, we have:

$HJ = \frac{6 - 4}{1 - 2}$

$HJ = \frac{2}{-1}$

$HJ = -2$

To determine the relationship, we make use of the following highlights

Parallel lines have the same slope
The slopes of perpendicular lines are opposite reciprocals

From the computation above, we have:

The slopes of both lines are not equal
The slopes are opposite reciprocals i.e. 2 = -1(-1/2)

Hence, segment FG and HJ are perpendicular

Read more about perpendicular lines at:

brainly.com/question/2531713

7 0

3 years ago

Please answer this correctly

gladu [14]

Answer:

The yellow rope. Hope this helped.

Step-by-step explanation:

Gold

Green

Blue

yellow

3 0

3 years ago