3 years ago

IT'S WORTH 50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Slav-nsk [51]3 years ago

6 0

They will be back together at:
10:20 am

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To one-one functions g and h are defined as follows.

Andreyy89

Answer:

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Step-by-step explanation:

The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.

$g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}$

The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.

$h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}$

A function of its own inverse returns the original value:

$\boxed{\left(h\circ h^{-1}\right)(-1)=-1}$

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