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:
A. the difference of two squares
Step-by-step explanation:
Please use the symbol " ^ " to indicate exponentiation.
Then we have x^2 - 11^2, which is the difference of two squares:
x^2 is a square, the square of x; and 11^2 is a square, the square of 11.
A. the difference of two squares
Note that a "difference of squares" is easily factored:
a² - b² = (a - b)(a + b)
and so your x² - 11² factors as follows: (x - 11)(x + 11)
Answer:
15
Step-by-step explanation:
Follow pemdas and multiply 6 and 2, then divide 9 and 3, finally, add the two together to get 15
6×2+9÷3
12+9÷3
12+3
=15
To
answer this question we have to first determine how many times 100
can go into 13,300. To find this we do the following:
<span>$13,300/$100
= 133</span>
<span>Now
we simply multiply the result by $2.74:</span>
<span>$2.74*133
= $364.42.</span>
<span>Finally
we just multiply that by the total number of payments which are
(monthly payment, 12 months in a year, for 4 years).</span>
<span>$364.42*(12*4)
---> $364.42*48 = $17,492.16.</span>
The correct answer is choice 4.) 17,492.16
<span>I
hope this helps, Regards.</span>
Answer:
4th option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 6 ← is in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = -
and (a, b ) = (- 2, 5 ) , then
y - 5 = -
(x - (- 2) ) , that is
y - 5 = -
(x + 2)