Question

What is the formula for a function that squares any number and, if possible, takes the reciprocal of that number?

a. f(x)=x ^2
b.f(x)= 1/ x
c. f(x)= 1/ x^2
d. f(x)=x^ −1

Answer 1

The correct formula for the function that squares a number and then takes the reciprocal is f(x) = 1/ x^2.

Therefore, the correct answer is: option c). f(x)= 1/ x^2

Step-by-step explanation:

The formula for a function that squares any number and then takes the reciprocal of that number is f(x) = 1/ x^2.

Squaring the number x is represented by x^2, and taking the reciprocal of a number y is represented by 1/y.

Combining these two steps into one function, you take the square of x and then find the reciprocal of that squared number, which mathematically translates to 1/ x^2, making the correct answer (c).