The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.
<h3>What is inverse of a function?</h3>
Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
g(x) = (2x – 3) / 4
Then the inverse function of g(x) will be
g⁻¹(x) = (4x + 3) / 2
Then the value of the inverse function, at x = -3, will be
g⁻¹(-3) = [4(-3) + 3] / 2
g⁻¹(-3) = -4.5
Learn more about inverse function here:
brainly.com/question/19425567
$SPJ1
9514 1404 393
Answer:
A(x) = 20000(0.88)^x
Step-by-step explanation:
The general form of these exponential equations is ...
A(x) = a·b^x
where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.
The growth factor is ...
growth factor = 1 + growth rate
Here, the growth rate per year is -12%, so the growth factor is ...
b = 1 -12% = 88% = 0.88
Of course, the initial value is a=20,000, so the equation is ...
A(x) = 20000(0.88)^x
Answer:
Step-by-step explanation:
Definition of supplementary
When the radius is 8, the area would be 201.06
Area of circle = pi x radius² (pi x 8²)
Answer:
The number of hot beverages sold were 45 and the number of cold beverages sold were 180.
Step-by-step explanation:
Let the number of cold beverages sold be
And the number of hot beverages sold be
According to the question:
c=4 h...
1.5 c + 2 h = Sale of any day
Part1:
For Saturday.
The sale is of 360
then
1.5 c + 2 h = 360
Part 2:
Following the method of substitution.
And plugging the values of c=4 h...in equation where the sales of Saturday is given.
1.5 c + 2 h =360
1.5 4 h + 2 h =360
6 h + 2 h= 360
8 h=360
Dividing both sides with 8.
h=
h=45
Inserting h=45 in c=4 h...
we have c=4 45 = 180
So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.