The answer is <span>a.)(x - 4)2 = 3.
(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0
Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0
Thus:
8x = 2ax and a² - b = 13
Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4
Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3
Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
Answer:
after one month = 100*.05=
$5 earned + $100 already there= $105
after 2 months = $105*.05=
$5.25 earned + $105 already there= $110.25
after 3 months = $110.25*.05=
$5.51 earned + $110.25 already there=
$115.76 is how much she'll have in the account after 3 mos.
Answer:


<em>f(x) and g(x) and not inverse functions</em>
Step-by-step explanation:
Given


Required
Determine f(g(x))
Determine g(f(x))
Determine if both functions are inverse:
Calculating f(g(x))



Expand Brackets




Calculating g(f(x))




Expand Brackets



Checking for inverse functions

Represent f(x) with y

Swap positions of x and y

Subtract 9 from both sides



Divide through by 3


Take square root of both sides


Represent y with g(x)

Note that the resulting value of g(x) is not the same as 
<em>Hence, f(x) and g(x) and not inverse functions</em>