Step-by-step explanation:
hope u get that process.
<h2>
Answer:</h2><h3>False</h3><h2>
Step-by-step explanation:</h2>
Let's find the inverse function of
to know whether this function has an inverse function
. So let's apply this steps:
a) Use the Horizontal Line Test to decide whether
has an inverse function.
Given that f(x) is a cubic function there is no any horizontal line that intersects the graph of
at more than one point. Thus, the function is one-to-one and has an inverse function.
b) Replace
by
in the equation for
.

c) Interchange the roles of
and
and solve for 
![x=(y-3)^3+4 \\ \\ \therefore x-4=(y-3)^3 \\ \\ \therefore (y-3)^3=x-4 \\ \\ \therefore y-3=\sqrt[3]{x-4} \\ \\ \therefore y=\sqrt[3]{x-4}+3](https://tex.z-dn.net/?f=x%3D%28y-3%29%5E3%2B4%20%5C%5C%20%5C%5C%20%5Ctherefore%20x-4%3D%28y-3%29%5E3%20%5C%5C%20%5C%5C%20%5Ctherefore%20%28y-3%29%5E3%3Dx-4%20%5C%5C%20%5C%5C%20%5Ctherefore%20y-3%3D%5Csqrt%5B3%5D%7Bx-4%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D%5Csqrt%5B3%5D%7Bx-4%7D%2B3)
d) Replace
by
in the new equation.
![f^{-1}(x)=\sqrt[3]{x-4}+3](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx-4%7D%2B3)
So this is in fact the inverse function and it isn't the same given function. Therefore, the statement is false
Y = 4x + 4
-8x + 3y = 5
-8x + 3(4x + 4) = 5
-8x + 12x + 12 = 5
-8x + 12x = 5 - 12
4x = -7
x = -7/4
y = 4x + 4
y = 4(-7/4) + 4
y = -7 + 4
y = -3
solution is (-7/4,-3)
Hello!
To solve this, we will use a system of equations. We will have the numbers be represented by x, y, and z, where x will represent the first, y the second, and z the third.
x+y+z=54
z=2x
x=6+y
We know that x is equal to 6+y. We can plug this into the second equation to find z.
z=12+2y
Now we can plug these y values into the first equation to find y.
6+y+y+12+2y=54
18+4y=54
4y=36
y=9
Now we know the value of y. We can plug this into the equations to find the other values.
x=6+9
x=15
z=15(2)
z=30
Just to check, we will add them all up and see if they equal 64.
15+9+30=54
The first number is 15, the second is 9, and the third is 30.
I hope this helps!
Answer: (11,-4)
Explanation: the range is to subtract the maximum and the minimum. The maximum is 9,5 and the minimum is -2,9