Answer:
Inverse of y=x^3 is f^-1(x) = ∛x
Step-by-step explanation:
We need to find the inverse of y=x^3
Step 1:
Interchange the variables:
x= y^3
Step 2: Now solve to find the value of y
=> y^3 = x
taking cube root on both sides of the equation
∛y^3 = ∛x
y=∛x
Step 3: Replace y with f^-1(x)
f^-1(x) = ∛x
So inverse of y=x^3 is f^-1(x) = ∛x
Three consecutive numbers are x, x+1 and x+2.
Four times the first integer is 4x
The sum of the second and third is (x+1)+(x+2)=2x+3.
So, we have

Subtract 2x from both sides:

Divide both sides by 2:

So, you can't have three consecutive integers such that four times the first is 18 more than the sum of the other two: the three numbers would be 10.5, 11.5, 12.5.
In fact, you have

and

The distance between two point:
L=sqrt[(1-(-2))^2+(0-3)^2]=sqrt(18)=3sqrt(2) - <span>magnitude
</span>About <span>direction. Angle is 45</span>°, both point are on the line y=-x+1
Do recall that squaring and the *radical sign* cancel each other out... like so:(

)

= a
When you put it that way, it isn't enough :P
(

)

= a
(

)

=?
so you start with
(

)

=

8x+1=25 <-- subtract 1 to both sides
8x=24 <- divide 8 to both sides
x= 3
To find out if it's an extraneous solution ask yourself: It mustn't result in a radical that I like to call... 'illegal'. Plug it into the radicand 8x+1 and make sure you get something that is not a negative number.... so, DO you get a negative number when you plug in x = 3 into the radicand?
(extraneous solution is a invalid solution)
x=3 not extraneous