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3 years ago

Given: f(x) = 3 - X; g(x) = -2x Find g[f(x)]

Mathematics

1 answer:

OLEGan [10]3 years ago

5 0

Answer:

g[f(x)] = -2(3 - x) = -6 + 2x

Step-by-step explanation:

When we substitute the function f(x) for x in g(x) = -2x, we get the composition g[f(x)]:

g[f(x)] = -2(3 - x) = -6 + 2x

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given sin A =3/-/34 and that angle S is in quadrant 1, find the exact value of tan A in simplest radical form using a ration

Vedmedyk [2.9K]

Answer:

$\tan(A) = \frac{3}{5}$

Step-by-step explanation:

Given

$\sin(A) = \frac{3}{\sqrt {34}}$

$0 \le A \le 90$ --- First Quadrant

Required

Find tan(A)

The sin of an angle is:

$\tan(A) = \frac{Opposite}{Hypotenuse}$

and

$\sin(A) = \frac{3}{\sqrt {34}}$

By comparison:

$Opposite = 3$

$Hypotenuse = \sqrt{34$

So, the Adjacent is:

$Hypotenuse^2 = Adjacent^2 + Opposite^2$

$(\sqrt{34})^2 = Adjacent^2 + 3^2$

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Collect like terms

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Take square roots

$Adjacent =\sqrt{25$

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This gives:

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3 years ago