Pythagorean theorm is( hypotenuse)^2=(base)^2+(perpendicular)^2
(18)^2-(9)^2=x^2
x=15.58
Answer:
x != -2, x^2 + 1, 1/5
Step-by-step explanation:
(a) It can be understood that nothing can divide 0
thus denominator cannot be 0 meaning x cannot be -2.
(-2 + 2) = 0
(b) y = sqrt(x-1)
inverse meaning we make x the subject
square both sides
y^2 = x - 1
y^2 + 1 = x
inverse = x^2 + 1
(c) composite function:
pass g(10) as domain of f
g(10) = 3, f(3) = 1/(5) = 1/5
So we know that 2/3=fantasy
1/4=bio
so bio+fantasy=2/3+1/4
2/3 times 4/4=8/12
1/4 times 3/3=3/12
2/3+1/4=8/12+3/12=11/12
11/12 of 60 are bio or fantassy
mltiply
11/12 times 60=660/12=55
answer is 55
"The domain is the set of all first elements of ordered pairs (x-coordinates).The range is the set of all second elements of ordered pairs (y-coordinates).Only the elements "used" by the relation or function constitute the range.