errnnicole
Answered

The function h(x) is given below.


h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}


Which of the following gives h–1(x)?


1.{(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}

2.{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}

3.{(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}

4.{(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}

Verified Answer :

smartchick100

B.) {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)} 

-YourWeclome ;)

InesWalston

Answer:

2. {(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}

Step-by-step explanation:

If f is an invertible function with domain X and range Y, then its inverse \(f^{-1}\) has domain Y and range X.

Domain of h(x) = {3, 5, 6, 10, 12}

Range of h(x)   = {-5, -7, -9, -12, -16}

So,

Domain of \(h^{-1}(x)\) = {-5, -7, -9, -12, -16}

Range of \(h^{-1}(x)\)   = {3, 5, 6, 10, 12}

Hence, \(h^{-1}(x)\) will be,

{(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}

Related Questions