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Otrada [13]
3 years ago
8

5

Mathematics
2 answers:
steposvetlana [31]3 years ago
8 0

Answer:

(h o k)(3)=  3

(K o h)(-4b)= - 4b

Step-by-step explanation:

Composition of a function and its inverse function returns the input

(h o k)(3)=  3

(K o h)(-4b)= - 4b

shusha [124]3 years ago
7 0

Answer:

(h\circ k)(3)=3

(k\circ h)(-4b)=-4b

Step-by-step explanation:

Remember that for two functions to be inverses, the following must be true:

h(k(x))=k(h(x))=x

Since we know they <em>are </em>indeed inverses, they are true.

So, whatever input we put in, we'll just get it back out again.

So, for our first problem:

(h\circ k)(3)

We can rewrite this as:

=h(k(3))

We can imagine our x being 3 here.

Therefore, using the above identity, we can conclude that:

h(k(3))=3

For our second example, the same thing:

(k\circ h)(-4b)

This is the same as saying:

k(h(-4b))

Again, using the above property, we can imagine our x is -4b. So, this will be equivalent to:

k(h(-4b))=-4b

And we're done!

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