Question

the function f(x) is invertible. find f⁻¹(72).

x	f(x)
-17	-66
-14	37
-11	98
-8	72
-5	69

f⁻¹(72) = \boxed{}

Explanation:

Step1: Recall inverse function definition

For an invertible function \( f \), if \( f(a) = b \), then \( f^{-1}(b) = a \).

Step2: Find \( x \) where \( f(x) = 72 \)

From the table, when \( x = -8 \), \( f(x) = 72 \). So by the definition of inverse function, \( f^{-1}(72) = -8 \).

Answer:

\( -8 \)