Answer:
f(x + 1) = x^2 + 2x + 6
Step-by-step explanation:
To find f(x + 1), we substitute (x + 1) for x in f(x) = x^2 + 5:
f(x + 1) = (x + 1)^2 + 5, or
= x^2 + 2x + 1 + 5, or
f(x + 1) = x^2 + 2x + 6
The domain for the function f(x) = |x + 1| is the set of all real numbers.
The range of the function is the set of positive real numbers.
Given the function f(x) = |x + 1|
f(-4) = |-4 + 1| = | -3| = 3
This means that the number -4 is at a distance of 3 units away from -1 on the number line.
f(2) = |2 + 1| = |3| = 3
This means that the number 2 is at a distance of 3 units away from -1 on the number line.
f(1.5) = |1.5 + 1| = |2.5| = 2.5
This means that the number 1.5 is at a distance of 2.5 units away from -1 on the number line.
Learn more at:
Domain and range - brainly.com/question/2264373
Absolute value or modulus function - brainly.com/question/12980508
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Answer:8
Step-by-step explanation:
Options :
A. The initial number of bacteria is 7.
B. The initial of bacteria decreases at a rate of 93% each day.
C. The number of bacteria increases at a rate of 7% each day.
D. The number of bacteria at the end of one day is 360.
Answer:
C. The number of bacteria increases at a rate of 7% each day.
Step-by-step explanation:
Given the function :
f(x)=360(1.07)^x ; Number of bacteria in sample at the end of x days :
The function above represents an exponential growth function :
With the general form ; Ab^x
Where A = initial amount ;
b = growth rate
x = time
For the function :
A = initial amount of bacteria = 360
b = growth rate = (1 + r) = 1.07
If ; (1 + r) = 1.07 ; we can solve for r to obtain the daily growth rate ;
1 + r = 1.07
r = 1.07 - 1
r = 0.07
r as a percentage ;
0.07 * 100% = 7%