8
QuizMultiple Choice

Function Inverses — Quiz

Question 8 • Mathematics III

If f of x is equal to 5 x , what is f inverse of x ?

Answer
A
f inverse of x is equal to negative 1 fifth x
B
f inverse of x is equal to 5 x
C
f inverse of x is equal to 1 fifth x
D
f inverse of x is equal to negative 5 x

Explanation

Let y = f(x) = 5x. To find the inverse, switch x and y, giving x = 5y, then solve for y: y = x/5. Therefore, f⁻¹(x) = 1/5 x, which is choice D.

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