2. “The inverse of every function must be a function itself.” State whether you agree or disagree with the statement providing evidence to support your position.

A function that is its own inverse is called  a involution. It is not necessary the inverse of every function must be a function itself.”

Step-by-step explanation:

Inverse is a function that reverse itself

Lets ,consider an equation  used to convert temperature in degrees Fahrenheit( F), to a temperature in degrees Celsius,(C)

C=3/9(F-32)

But suppose ,we want a equation that did the reverse  that means it converted a temperature in degrees Celsius to a temperature in degrees Fahrenheit. Then we inverse the function as

F=3/9(C+32)

the answer is true.

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.