can someone help me with this other math problem?

Question

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solve for f(g3.4))

Answer 1

You're asking me? Heck, I pull off my shoes so I can count using higher math. LOL

Answer 2

"Given that f(x) and g(x) are inverses, and f(x)=(sqrt(x^4+3))/(9-3x^2-2x)"

Can't help you out if that's all the further it goes. What are we supposed to solve for?

Added: Hope I've got this all right... f(g(3.4))...okay, first solve for g(3.4). g(x) is the inverse of f(x), so g(3.4)=(9-3(3.4^2)-2(3.4))/(sqrt(3.4^4+3)) = (9-3(11.56)-6.8)/(sqrt(133.63+3)) = (9-34.68-6.8)/(sqrt(136.63) = -32.48/11.69 = approx. -2.78

Now we need to find f(-2.78)
=(sqrt(-2.78^4+3))/(9-3(-2.78^2)-2(-2.78) = (sqrt(59.73+3))/(9-23.19+5.56) = (sqrt(62.73))/-8.63 = 7.92/-8.63= approx. -0.92

If I've got this all right, your answer is about -0.92. Of course, that may be a bit off, depending on how many digits one decides to round each decimal to, throughout the problem.

Added: Those who claim f(g(x)) is equal to x are mistaken. (Though it's temptingly simple, isn't it?) That's when you multiply inverses, not take one function of another which is the inverse of that function. Shall I prove it? Let's look at a simpler problem.

f(x) = x^2
g(x) = 1/x^2

Now let's find f(g(2)). If the others are correct, f(g(2)) should equal 2.

g(2) = 1/2^2 = 1/4
f(1/4) = (1/4)^2 = 1/16

Clearly, the principle being proposed does not hold up. At all.

Answer 3

if f(x) and g(x) are inverses, then that means f(g(x)) will get you the value of x - in your case, that's 3.4.

instead of all those complicated equations, think of it this way:

if f(x) and g(x) are inverses of each other, then it's analogous to having .25x and 4x. no matter what you do to x and in whatever order, the effects of the equations cancel each other out, and you'll have your original value again. hope this clears stuff up! :-)

Answer 4

I can help you with alot more... Um come do your homework with me sometime 64 27 283 9226 text me ;)

Answer 5

Sorry, l have not got a clue- am l dumb?. love Jo xx

Answer 6

Not sure if this is what you need but I gave it a try.

Answer 7

if f(x) and g(x) are inverse of each other, then:
f [g(x)] = x

or

g [f(x)] = x

so f [g(3.4)] = 3.4 <== answer

Answer 8

aaa...not good with these kind of measrements... :)

Answer 9

i could help you with something else uhh