Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2
Solution
f(x)=2x+1
y=f(x)
y=2x+1
Isolating x: Subtracting 1 both sides of the equation:
y-1=2x+1-1
y-1=2x
Multiplying both sides of the equation by 1/2:
(1/2)(y-1)=(1/2)2x
(1/2)y-1/2=x
x=(1/2)y-1/2
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x) = (1/2)x-1/2
Answer:
1) 0, 180
2) 90
3) 3pi/2
4) pi/2, -3pi/2
5) 90, 270
6) 0
7) pi
8) -2pi, 0, 2pi
Step-by-step explanation:
1) sinx = 0
x = 0, 180, 360
2) sinx = 1
x = 90
3) sinx = -1
x = 270 or 3pi/2
4) sinx = 1
x = pi/2, pi/2 - 2pi = -3pi/2
5) cosx = 0
x = 90, 360
6) cosx = 1
x = 0, 360
7) cosx = -1
x = pi
8) cosx = 1
-2pi, 0 , 2pi
Option a. 11 is the right answer
Step-by-step explanation:
To find the value of a function on particular input, the value is put in the function in place of variable
Given function is:
As we have to find f(6) and x>0 the part of function 3x-7 will be used
so,
Hence,
Option a. 11 is the right answer
Keywords: Functions, Variables
Learn more about functions at:
#LearnwithBrainly
Sender would be 4 x 7 divided by 15
Answer:
Tn = 17-6n
Step-by-step explanation:
d = 5-11 = -6
Tn = a + (n-1)d = 11 + (n-1)×-6
= 11 -6n +6 = 17-6n
