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Papessa [141]
3 years ago
12

Find g(x), where g(x) is the reflection across the x-axis of f(x) = x?.

Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

$ g(x) = -x $

Step-by-step explanation:

The reflection of a function $ f(x) $ along the $ x - axis $ is given by $ g(x) = -f(x) $.

Here the given function is $ f(x) = x $. Therefore the reflection would be $ g(x) = -x $.

To find reflection draw the graph of it and think about how the graph of its mirror image would be. You would arrive at the reflection function.

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Help,anyone can help me do quetion.​
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Answer:

(a) x = 128^{o}

(b) x = 74^{o}

Step-by-step explanation:

A. sum of angles in a polygon = (n - 2) 180

The polygon given is an irregular pentagon, where n = 5

So that;

sum of angles in a pentagon = (5 - 2) 180

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Thus,

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B. The polygon given is an irregular pentagon, where n = 5.

Let the supplementary angle with angle 38 be represented by y,

y + 38 = 180

y = 180 - 38

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y = 142^{o}

Let the supplementary angle with x be represented by z, so that;

z + 72 + 120 + 100 + 142 = 540^{o}

z + 434 = 540^{o}

z = 540^{o} - 434

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z = 106^{o}

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sin^2 x + 4 sinx +3       3 + sinx

--------------------------  =  -------------------

cos^2 x                        1 - sinx


factor the numerator


(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

cos^2 x                        1 - sinx


cos^2 = 1-sin^2x

(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

1- sin^2x                       1 - sinx

factor the denominator

(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

(1-sinx ) (1+sinx)                   1 - sinx

cancel the common term (1+sinx)  and (sinx +1)

(sinx +3)                       3 + sinx

--------------------------  =  -------------------

(1-sinx )                           1 - sinx


reorder the first term

3+sinx                           3 + sinx

--------------------------  =  -------------------

(1-sinx )                           1 - sinx

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3 years ago
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