Hello from MrBillDoesMath!
Answer:
(x-8)^(1/3) +2
Discussion:
To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8 and solve for y.
y = (x-2)^3 +8 => original function. swap x and y values
x = (y-2)^3 + 8 => subtract 8 from both sides
x - 8 = (y -2)^3 => take cube root of both sides
(x-8)^(1/3) = y - 2 => add 2 to both sides
(x-8)^(1/3) +2 = y => y is the inverse
Thank you,
MrB
Step 1.) Multiply both sides of the equation by -6
step 2.) Sum the equations vertically to eliminate at least one variable
step 3.) Divide both sides of the equation by
step 4.) Substitute the given value of into the equation x - 2y = 10
step 5.) Solve the equation for x
step 6.) The possible solution of the system is the ordered pair (x , y)
step 7.) Check if the given ordered pair is the solution of the system of equations
step 8.) Simplify the equalities
step 9.) Since all of the equalities are true, the ordered pair is the solution of the system
So your answer would end up being (40/13 , -45/13) !! Hope that helps you out :D !!
When finding zeros, the function has to equal zero. In other words, G(x) = 0.
For three multiplied parts to equal to zero, at least one has to be zero. -2 ≠ 0, but (x+1) or (x+7) can.
So you can equate each of those to zero and find out what the zeros are.
x+1=0
x=-1
x+7=0
x=-7
Thus the answer
x = -1 or -7
