Question

The following table correctly outlines the process for finding the inverse relation for f(x)=14x+32. f(x)=14x+32 Begin with the original function. y=14x+32 Change f(x) to y. x=14y+32 Switch x and y. x−32=14y+32−32 Apply the _[blank]_. 41⋅(x−32)=41⋅14y Apply the Division Property of Equality. 4x−6=y Simplify. Which property correctly fills in the blank in the table?

Answer 1

The expression is given below as

`x-(3)/(2)=(1)/(4)y+(3)/(2)-(3)/(2)`

Concept:

The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal.

Hence,

The final answer is

Subtraction property of equality

The THIRD OPTION is the right answer