3. g(x) = (x+2)/ |x+2| the denominator cannot be 0
|x+2| cannot be 0
x cannot equal -2
Domain all real numbers but -2
g(-1) = (-1+2)/ |-1+2| = 1/|1| = 1
4. h(x) = (x-4)/(x^2+5x-36)
factor the denominator
h(x) = (x-4)/(x+9) (x-4) the denominator cannot be zero do not cancel, this is a hole
x+9 cannot equal zero so x cannot equal -9
x-4 cannot equal 0 so x cannot equal 4
Domain all real numbers but -9 and 4
h(-1) = (-1-4)/((-1)^2+5(-1)-36) = -5/(1-5-36) = -5/-40 = 1/8
Answer:
Option D: - 6; 
; 
.
Step-by-step explanation:
The sequence is defined by:
To find the first term of the sequence simply substitute n = 1.
First term of the sequence:
Fourth term of the sequence:
is the required answer.
Tenth term of the sequence:
is the required answer.
Answer:
D
Step-by-step explanation:
495 / 45 = 11 hours
Option D
Answer:
x = 3
Step-by-step explanation:
take 60 degree as reference angle and using cos rule
cos 60 = adjacent/hypotenuse
1/2 = x/6
do cross multiplication
2*x = 6*1
x = 6/2
x = 3
X^2=24
Root both sides
x=±√24
Simplify the radical
x=± √2^2 *6
x=± 2√6
Final answer: A
