Keep in mind that an inverse function is simply the reversal of the x and y coordinates of the parent function. For every (x,y) of the parent function, the inverse function has a point (y,x). With the conceptual part out of the way, finding the inverse function is relatively straight forward. If:
y=5x then the inverse function will be what you have when you solve for x and then reverse the variable labels...ie.
y=5x so
x=y/5 now reverse the variable labels...
y=x/5 this is the inverse function of y=5x or as your problem notation stated:
f^-1(x)=x/5
Answer:
x= 0.5
or x= -1.5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x2+4x−3=0
Step 1: Factor left side of equation.
(2x−1)(2x+3)=0
Step 2: Set factors equal to 0.
2x−1=0 or 2x+3=0
x= 1/2 or x= −3/2
Answer:
Step-by-step explanation: To divide by a decimal, multiply the divisor by a power of ten to make the divisor a whole number. Then multiply the dividend by the same power of ten. You can think of this as moving the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.
Answer and Step-by-step explanation: The <u>critical</u> <u>value</u> for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.
Each sample has a different degree of freedom and critical value.
To determine critical value:
1) Calculate degree of freedom: df = n - 1
2) Subtract the level per 100%;
3) Divide the result by 2 tails;
4) Use calculator or table to find the critical value t*;
For n = 5 Level = 90%:
df = 4
t = 
= 0.05
Using t-table:
t* = 2.132
n = 13 Level = 95%:
df = 12
t = 
= 0.025
Then:
t* = 2.160
n = 22 Level = 98%
df = 21
t = 
= 0.01
t* = 2.819
n = 15 Level = 99%
df = 14
t = 
= 0.005
t* = 2.977
The critical values and degree of freedom are:
sample size level df critical value
5 90% 4 2.132
13 95% 12 2.160
22 98% 21 2.819
15 99% 14 2.977
The 1st option is correct
