Answer:
Suppose f and g are two functions such that
1. (g ◦ f)(x) = x for all x in the domain of f and
2. (f ◦ g)(x) = x for all x in the domain of g
then f and g are said to be inverses of each other. The functions f and g are said to be
invertible.
. Properties of Inverse Functions: Suppose f and g are inverse functions.
• The rangea of f is the domain of g and the domain of f is the range of g
• f(a) = b if and only if g(b) = a
• (a, b) is on the graph of f if and only if (b, a) is on the graph of g
Step-by-step explanation:
Answer:
cosA = 0.6
Step-by-step explanation:
Using the Pythagorean identity
sin²A + cos²A = 1 ( subtract sin²A from both sides )
cos²A = 1 - sin²A ( take the square root of both sides )
cosA = ± 
Since only the positive value is required , then
cosA = 
= 
= 
= 0.6
So you need to find the slope and the y- intercept. So, the slope is always the coefficient on the x. In this case it is 4. The y-intercept is the other number. In this case it is -5. So the slope is 4 and the y-intercept is -5. On your graph (the y axis) find -5. Then you go up 4 and to the right 1 because of four were a fraction it would be 4/1. Keep going up four and right one a couple times. Then reverse it. Go down 4 left 1. That as a fraction would look like -4/-1. Then connect your points and make it a line!
The first step to solving this is to use tan(t) =

to transform this expression.
cos(x) ×

Using cot(t) =

,, transform the expression again.
cos(x) ×

Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) ×

Using sin(t)² + cos(t)² = 1,, simplify the expression.
cos(x) ×

Reduce the expression with cos(x).

Lastly,, use

= csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)
Answer:
A) g(t) = - 16*t² + 80*t
B) domain is ( 0 ≤ t ≤ 5 )
Step-by-step explanation:
A) for the model rocket
h = 0 and v = 80 feet/sec
Then the equation g(t) = -16*t² + v*t + h
became
g(t) = - 16*t² + 80*t + 0 g(t) = - 16*t² + 80*t
B) The equation g(t) = - 16*t² + 80*t is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t) then the biggest value for t = 5 from
-16*t² + 80*t ≥ 0
-16*t ≥ -80 16*t ≤ 80
t ≤ 5
And the domain is ( 0 ≤ t ≤ 5 )