Find the formula for the inverse of each function.
4.) g(x)= (x+5)^3
I do not understand how to do this one.
let y = (x+5)^3
switch the x and y
x = (y+5)^3
now solve for y
cuberoot(x) = y+5
y = -5 + cuberoot(x) or
Thanks
3x+5-4x=7?
To find the inverse of a function, we need to swap the roles of x and y and solve for y. Let's go step by step to find the inverse of g(x)= (x+5)^3.
Step 1: Replace g(x) with y.
y = (x+5)^3
Step 2: Swap x and y.
x = (y+5)^3
Step 3: Solve for y.
To do this, we'll take the cubic root of both sides of the equation.
∛(x) = y+5
Step 4: Subtract 5 from both sides to isolate y.
∛(x) - 5 = y
So, the inverse of g(x)= (x+5)^3 is h(x) = ∛(x) - 5.