We have the following functions:
f (x) = x ^ 2 + 1
g (x) = 1 / x
Multiplying we have:
(f * g) (x) = (x ^ 2 + 1) * (1 / x)
Rewriting:
(f * g) (x) = ((x ^ 2 + 1) / x)
Therefore, the domain of the function is given by all the values of x that do not make zero the denominator.
We have then:
All reals except number 0
Answer:
b. all real numbers, except 0
Answer:
99
Step-by-step explanation:
=> 9801/99 = 99
Don't get too involved in the 'simplify' part just yet.
It doesn't mean make the problem easier.
It means that when you have the answer, make sure it's in simplest form.
That's why it says "Simplify your answer".
Notice that that's the 2nd instruction.
There's nothing to simplify until you have an answer.
The first thing you have to do here is find the area of a triangle.
Do you remember that formula ?
I'll bet you do.
The area of a triangle is (1/2) · (length of the base) · (height) .
The height and the length of the base are given, right there
in the picture. Take those, and use them to find the area.
Once you've multiplied the binomials, don't forget about the (1/2).
Finally, you have a trinomial for an answer.
Put the big sweet cherry on top: Factor it !
I think that's the 'simplify' part.
You may be surprised.
I was when I worked it out just now ... just for you.
See below for the changes when the exponential function is transformed
<h3>How to determine the effect of a</h3>
The exponential functions are given as:




An exponential function of the above form is represented as:

See attachment for the graph of the four functions.
<u>When a is large</u>
This is represented by 
In this case, the curve of the base form
is vertically stretched and it moves closer to the y-axis
<u>When a is small</u>
This is represented by 
In this case, the curve of the base form
is vertically stretched and it moves away from the x-axis
<u>When a is negative</u>
This is represented by 
In this case, the curve of the base form
is vertically stretched and is reflected across the y-axis.
Read more about function transformation at:
brainly.com/question/26896273
#SPJ1
Answer:
y=7x+8
Step-by-step explanation:
Find the slope of the original line and use the slope-intercept form