Two transformations occur on F(x) to obtain G(x).
a) Multiplication by -1
This means, the function is reflected across x-axis
b) Multiplication by 5.
This means vertical stretch by a factor of 5.
So, G(x) can be obtained by reflecting F(x) across x-axis and stretching it vertically be a factor of 5.
So, the correct answer is option B
Answer:
x = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
72 + 6x + 2 + 17x - 9 = 180
23x + 65 = 180 ( subtract 65 from both sides )
23x = 115 ( divide both sides by 23 )
x = 5
Answer:
decimal: 0.4166666666...
fraction: 15/36 (simplified: 5/12)
Step-by-step explanation:
Step-by-step explanation:
after rationalising we get as b)19
multiply 3√3+2√2 on numerator and denominator
7(3√3+2√2)/(3²*3-2²*2)
7(3√3+2√2)/27-8
7(3√3+2√2)/19
so denominator is 19
Part 1.
A. x=0 can be used for function that have x≤1, so f(x) =x²
B.You need substitute x by 0. x=0,
then
f(0) = 1) x² =0² =
0 x≤1 Part 2.
A. f(x) =x², Graph is attached.
B. f(x) =2x+1, Graph is attached.
C. The functions will change in the point x=1
For f(x) =x² , x ≤1 ; f(1) = 1. The point (1,1) is included, the dot should be filled (closed).
For the function f(x)=2x+1, x>1. The point f(1)=3 is not included, the dot should be empty(open).
D. Point(1,1) is closed(filled circle), point (1,3) is open(empty circle).