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2 years ago

Solve the equation for the indicated variable dfg=h; f

1 answer:

4 0

divide the whole equation by dg as shown below

$\frac{dfg}{dg} = \frac{h}{dg}$

then you cancel out de dg, leaving;

$f = \frac{h}{dg}$

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

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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

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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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