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Oksanka [162]
3 years ago
8

Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x)) a. 3x+3 b. 3-3x c.-3-3x d. 2x-3

Mathematics
1 answer:
Tresset [83]3 years ago
8 0
<h3>Answer:  Choice B.  3 - 3x</h3>

Work Shown:

g(x) = -x\\\\g(f(x)) = -f(x)\\\\g(f(x)) = -(3x-3)\\\\g(f(x)) = -3x+3\\\\g(f(x)) = \boldsymbol{3-3x}\\\\

Explanation: We start with the outer function g(x). In the second step, we replace every copy of x with f(x). From there we plug in f(x) = 3x-3 and simplify using the distribution rule.

The notation g(f(x)) is the same as writing (g \circ f)(x)

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The number of users on a website is 630 and is growing exponentially at a rate of 76% per year. Write a function to represent th
Dafna1 [17]

The exponential function that represents the number of users on the website after t is given by:

A(t) = 630(1.76)^t

The daily rate of change is of 20.82%.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 630, r = 0.76

Hence the equation that represents the number of users on the website after t is given by:

A(t) = 630(1.76)^t

An year has 365 days, hence the rate of change per day is given by:

76/365 = 0.2082 = 20.82%.

The daily rate of change is of 20.82%.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0
2 years ago
Thank you guys for helping me I know I'm being annoying
Ierofanga [76]
A² + b² = c²

c² = 4² + 6.5²

c² = 58.25

c = 7.63

Perimeter = 4 + 6.5 + 7.63 = 18.13 units.

Perimeter after the increase in scale = 18.13 x 4 = 72.52 units.

Answer:  72.52 units
8 0
3 years ago
How did you get that ? 709 × 68= 48212?
algol13
You can get the answer by doing proper multiplication. In another words, it mean like this:
709
× 68
-----------
5672
+
4254
-----------
48212. To do this right, you need to rearrange this into the right position to get the correct answer. Also, you can use calculator to find the answer more quicker. Hope it help!
7 0
3 years ago
Given f(x) = 2x + 1, find the range value if the domain value is 1.75.
MAXImum [283]

Given:

The function is

f(x)=2x+1

To find:

The range value if the domain value is 1.75.

Solution:

Domain is the set of input values and range is the set of output values.

Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.

Substitute x=1.75 in the given function.

f(1.75)=2(1.75)+1

f(1.75)=3.5+1

f(1.75)=4.5

Therefore, the required range value is 4.5.

4 0
3 years ago
The diagram is a hat box that is designed with the shape of a regular octagon inside and a rectangle outside. Find the value of
nekit [7.7K]
In a regular octagon all the interior angles are of the same value. 
sum of the interior angles in octagon = (n-2) *180°
n - number of sides, in this case, n = 8
interior angles sum = (8-2)*180° = 6*180° = 1080°
since there are 8 equal angles = 1080/8 = 135°
Angle x + one interior angle of the octagon = 180 ° (as its a straight line)
x + 135 = 180
x = 45°
5 0
3 years ago
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