Question

Match each function with the expression representing its inverse function.

1. x - 4
2. x + 4
3. 0.25x
4. x
5. -2x
6. 2x

A. g ( x ) = -0.5 x
B. h ( x ) = 4 x
C. y = x - 4
D. ƒ( x ) = x/2
E. k ( x ) = x
F. p ( x ) = x + 4


Please help!!

Answer 1

• A matches with 5.
• B matches with 3.
• C matches with 2.
• D matches with 6.
• E matches with 4.
• F matches with 1.

Explanation:

To find the inverse of a function
`f(x)`, we let
`f(y)=x` and then solve again for y.

For example, using
`g(x)=-0.5x`, we will let
`g(y)=x`, giving
`x=-0.5y`. This means that
`y=-2x`, and thus
`g^(-1)(x)=-2x`.

Using similar logic, we see that:

• A matches with 5.
• B matches with 3.
• C matches with 2.
• D matches with 6.
• E matches with 4.
• F matches with 1.