Answer:

Step-by-step explanation:
The functions are given f and g using coordinates.
Whenever we will ask for f(a), we look for "a" in the x coordinate of the function f and find the corresponding value. THAT IS THE ANSWER.
If we ask for g(b), we look for "b" in the x coordinate of the function g and find the corresponding value. THAT IS THE ANSWER.
So,

Answer:
The rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
Step-by-step explanation:
Considering the point

If we reflect a point
across the line
with equation
, the coordinates of the point P flips their places and the sign of the coordinates reverses.
Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
For example, if we reflect a point, let suppose A(1, 3), across the line
with equation
, the coordinates of point A flips their places and the sign of the coordinates reverses.
Hence,
A(1, 3) ⇒ A'(-3, -1)
function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
Answer:
the Velocity of the plane is 100 mi/hr along the northeast direction
Step-by-step explanation:
According to the Question,
- Given That, the Initial velocity of the plane is 150 mi/hr along the east north direction and the wind is blowing at 50 mi/hr along the southwest direction
since the velocity of wind and plane is exactly opposite
- the relative velocity of the plane with respect to the wind is given by
, where
is the velocity of plane = 150mi/hr and
= velocity of wind = 50 mi/hr
- Therefore, Relative Velocity = 150-50 ⇒ 100mi/hr along northeast direction
Thus, the velocity of the plane is 100 mi/hr along the northeast direction