Answer:
f^-1 = 4(x-3)
Step-by-step explanation:
If f(x) = 1/4(x) + 3 we ned to find f^-1.
To find the inverse function, we need to solve the equation for "x", as follows:
f(x) = 1/4(x) + 3
y = 1/4(x) + 3
y-3 = 1/4(x)
4(y-3) = x
Now, change the "x" for an "y". And change the "y" for an "x":
4(x-3) = y
The solution is the last one.
A vertical angles and Angles 1 & 3
QUESTION 1
The given inequality is

We group like terms to get,

This implies that,
or
.
We simplify the inequality to get,
or
.
We can write this interval notation to get,
.
QUESTION 2
.
We group like terms to get,
.

We split the absolute value sign to get,
or 
This implies that,
or 
or 
or 
We can write this interval notation to get,
.
QUESTION 3
The given inequality is

We split the absolute value sign to obtain,
or 
This simplifies to
and 
and 
and 
and 

We write this in interval form to get,
![[-\frac{10}{3},2]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7B10%7D%7B3%7D%2C2%5D)
QUESTION 4
The given inequality is

We split the absolute value sign to get,
or 
This simplifies to,
or 
This implies that,
or 
or 
or 
We write this in interval notation to get,

The sum of two numbers will be zero when you have the same number and one is positive and one is negative. For example 1 + -1= 0