The inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
<h3>How to determine the inverse function?</h3>
The function is given as:
f(x) = 6x + 4
Rewrite as:
y = 6x + 4
Swap x and y
x = 6y + 4
Subtract 4 from both sides
6y = x - 4
Divide through by 6
y = (x - 4)/6
Rewrite as:
f^-1(x) = (x - 4)/6
Hence, the inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
Read more about inverse functions at:
brainly.com/question/2541698
#SPJ1
Answer:
The constant charge for each minute used is $50
Step-by-step explanation:
In order to solve this problem we will need to set two variables up. In this case:
F = constant Fee
R = rate per minute used
So the cost for the month of January is calculated like this:
F+300R=68
and the cost for February is calculated like this:
F+275R=66.5
So no we have a system of equations we can solve simultaneously. This can be solved by using different methods, elimination, substitution, graphically or by using matrices. I will solve this by substitution.
So let's solve the first equation for R:

and let's substitute this first equation into the second equation:

and now we can solve this for F:

We can multiply both sides by 12 so we get:
12F+11(68-F)=798
12F+748-11F=798
F= $50
Answer:
Step-by-step explanation:
fog(x)=f(g(x))
=f(x+2)
=3⋅(x+2)
=3x+6
gof(x)=g(f(x))=g(3x)
=3x+2
gof(2)=3⋅2+2
=6+2
=8
fog(2)=3⋅(2+2)
=3*2+6=12
the answer is true it is a rational number
Answer:
Let the measure of each side of the square be " x " cm.
then ,
area of square = x²
After we folded the square into a rectangle ,
length of rectangle = x
breadth of rectangle = x/2
perimeter of rectangle = 36 cm

hence ,
side of square = 12 cm
therefore ,
area of square = 12 × 12 = 144 cm²
hope helpful~