Given:
The graph of function g(x) is a transformation of the graph of function f(x) = x²
As shown: the graph of g(x) is open down
So, we will reflect f(x) over the x-axis, the function will be ⇒ -x²
And there is horizontal compression so, the factor of compression will be > 1
So, the function will be ⇒ -2x²
Finally, there is a vertical shift down 3 units
So,
F(g(2))
g(x) = x^2 - 6x - 7
g(2) = 2^2 - 6(2) - 7
g(2) = 4 - 12 - 7
g(2) = -15
f(x) = x + 8
f(g(2) = f(-15) = -15 + 8 = -7 <==
ur answer is -7
Step-by-step explanation:
Your answers are given in the attachment
please check it once if it is helpful to you or not
Answer:
The answer to your question is the letter a) √3/3
Step-by-step explanation:
Data
find tan 30°
Use the triangle 30°-60°-90° (see the picture below)
Tangent is the trigonometric function that relates the Opposite side and the adjacent side.
tan Ф = Opposite side / Adjacent side
-Substitution
tan Ф = 1/√3
or 1/√3 √3/√3 = √3/3