SOLUTION: I need help evaluating this function. Given f(x)=1/[x], find f(2)+f(-2) and find f(c^2+4). I don't understand.

You can put this solution on YOUR website!
"Given f(x)=1/[x], find f(2)+f(-2)"

Is the function ? (ie is the right side 1 over the absolute value of "x")???


If so, then...


Let's find f(2)

Start with the given function


Plug in


Take the absolute value of 2 to get 2


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Let's find f(-2)

Start with the given function


Plug in


Take the absolute value of -2 to get 2


Now let's add f(2) to f(-2):





So


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"Given f(x)=1/[x], find f(c^2+4)"


Start with the given function


Plug in


From here, there's not much you can do to simplify.

You can put this solution on YOUR website!

I'm presuming that your brackets around the x indicate absolute value.

We know that and

The other thing is, given f(x), to evaluate f(a), substitute a for x in the expression defining the function.

So if then





Therefore

Evaluate the same way.

You get

But!

Hence, for any real c

That means that for any real c.