Answer:
<em>Thus, f and g are inverse functions</em>
Step-by-step explanation:
<u>Inverse Functions</u>
If two functions f(x) and g(x) are inverses, then it follows that:
Or:
We are given
Let's test if they are inverse functions:
Simplifying:
Now find:
Operating:
Thus, f and g are inverse functions
Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
Answer:
8
Step-by-step explanation:
The shortest leg warmer:
4.5
The longest leg warmers:
6 and 6.5
6 + 6.5 = 12.5
12.5 - 4.5 = 8
easy
Step-by-step explanation:
if you have for example x^2-4
just graf x^2 and that put down all point for 4
He donated $285 to the salvation army.
The first thing to do is solve for "x". The equation would be {2(3x+60)}+5x+100=550.
Then, you would multiply 2 with 3x and 60. Your new equation would be 5x+120+5x+100=550.
Next, you would combine like terms. This means to combine the terms that are similar. In this case, it would be the whole numbers and the numbers with the variable. Your new equation would be 10x+220=550.
After that, you subtract 220 on both sides of the equal sign. This makes the equation 10x=330.
Then, you divide ten on both sides of the equal sign, giving you x=33.
The second things to is replace the x with 33. The amount for the salvation army is 5x+120. Replacing 33 with x, your final equation will be 165+120=$285.
Have a great day!!! :)
