If h(x) is the interse of f(x), what is the value of h(f(x))?
O 0
0 1
f(x)

Step-by-step explanation:

Your options for solutions are nonsensical. We'll go about this a different way...namely, I'll tell you about a function and its inverse and then you can pick the answer from your options, as best as it will fit.

If f(x) = x + 1 and f(x) is the same thing as y, you can say that y = x + 1

If h(x) is the inverse of f(x), we have to find what h(x) is. The way to do that is to switch the x and y coordinates in f(x) and solve for the new y.

f(x) = y = x + 1 then x = y + 1 and y = x - 1.

That tells us the inverse of f(x), aka h(x). If we then take the composition of f(x) into h(x) we will find its value.

h(f(x)) ---> h(x + 1) = (x + 1) - 1 and

h(f(x)) = x

This will ALWAYS BE TRUE, NO MATTER WHAT FUNCTION YOU PLUG IN.

Fact: the composition of an inverse into its function = x

Fact: the composition of a function into its inverse = x

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

a

step-by-step explanation:

the answer is a