For each pair of functions and below, find and .

Mathematics

1 answer:

Dima020 [189]3 years ago

5 0

Answer:

1- Inverses .

2 - Not inverses.

Step-by-step explanation:

Notice that

1 -

$f(g(x))= 3/(3/x) = (3x)/3 = x$

Since their composition is the identity, then they are inverses.

2 -

$f(g(x)) = ((-x+4)+4) = -x+8$

Since their composition is not the identity, then they are not inverses.

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3 years ago

What is the function rule for the line?

11Alexandr11 [23.1K]

So with these equations we need to find the y-intercept and the slope because:

y = mx+b

y = f(×)

b = y-intercept

m = slope (slope = rise/run, rise over run)

rise is y-axis
run is x-axis

The y-intercept is (0,-2)
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$f(x) = - \frac{2 }{3 } x - 2$