TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN

Mathematics

1 answer:

Vesnalui [34]3 years ago

7 0

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1 then f-1(x) is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

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This one is so easy that your brain refuses to accept it.
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You're totally correct, as far you went.    x² + 2x does = -1

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Can you factor that quadratic ?
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Actually, it's the simplest possible perfect square.

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3 years ago

Graph the line with slope 1/2 passing through the point (-4,4).

Yakvenalex [24]

Answer:

Step-by-step explanation:

------------

It's a straight line, so you need 1 additional point.

---

Plot (-4,4)

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Add 1 to x, and 2 to y ---> (-3,6)