Question

Question 2 of 10

f(x)=√x-8. Find f(x) and its domain.
A. f¹(x) = x² +8; xz -8
B. f¹(x) = (x+8)²; xz0
O c. f¹(x) = x² +8; x²0
O D. f¹(x) = (x + 8)²; x² -8

Answer 1

Step-by-step explanation:

B. f¹(x) = (x+8)²; xz0

hope the answer is correct

Answer 2

C. f¹(x) = x² + 8; x ≥ 8

Step-by-step explanation:

The given function is f(x) = √(x - 8), which can be rewritten as f(x) = (x - 8)^(1/2).

To find the inverse function, we need to solve for x:

y = (x - 8)^(1/2)

y^2 = x - 8

x = y^2 + 8

Therefore, f¹(x) = x² + 8.

The domain of f(x) is all the values of x that make the expression inside the square root non-negative, that is, x - 8 ≥ 0. Solving for x, we get x ≥ 8. Therefore, the domain of f(x) is x ≥ 8.