2 years ago

You have to find the area of the figure by first finding the areas of the rectangle and triangle

Mathematics

1 answer:

kiruha [24]2 years ago

3 0

Answer:

The total area is 18

Step-by-step explanation:

The rectangle is equivalent of 12 units and the square is cut in half, so half of 12 is 6. Add the the square and the rectangle together and tou get 18

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enot [183]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

$h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\$

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

$h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x$

Get the composite function g(h(x))

$g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x$

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Learn more on inverse functions here; brainly.com/question/14391067

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