Question
What is the inverse of f if f(x) = ^3 square root of x - 4?
Answers
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To find the inverse of f, we need to solve for x in terms of f(x).
Let y = f(x) = ³√x - 4.
To solve for x, we first add 4 to both sides:
y + 4 = ³√x
Next, we cube both sides to eliminate the cube root:
(y + 4)³ = x
Therefore, the inverse of f is:
f⁻¹(x) = (x + 4)³
Let y = f(x) = ³√x - 4.
To solve for x, we first add 4 to both sides:
y + 4 = ³√x
Next, we cube both sides to eliminate the cube root:
(y + 4)³ = x
Therefore, the inverse of f is:
f⁻¹(x) = (x + 4)³