A Pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?
2 answers:
The another way to state the transformation would be
<u>Solution:</u>
Rotation about the origin at :
The term R0 means that the rotation is about the origin point. Therefore, (R0,180) means that we are rotating the figure to about the origin.
So, the transformation of the general point (x,y) would be (-x,-y) when it is rotated about the origin by an angle of .
Hence according to the representation, the expression would be .
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We know that g(x) = \frac{3}{x^2+2x}
We have to find g^-1(x) or inverse of g(x)
Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y
g(x) = y = \frac{3}{x^2+2x}
⇒ y × (x² + 2x) = 3
⇒ yx² + 2xy = 3
⇒ yx² + 2yx - 3 = 0
Determining the roots of x using:
x = OR x =
, where a is coefficient of x², b is coefficient of x, and c is the constant
⇒ x = OR x =
⇒ x = OR x =
Hence, g^-1(x) = OR x =