Answer:
x = 20
Step-by-step explanation:
given f(x) = , we have to solve
= 4
Square both sides
()² = 4²
x - 4 = 16 ( add 4 to both sides )
x = 20
As a check
=
= 4 ← correct
What is the midpoint of the segment shown below? (-4,6) (4,-2)
2 answers:
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we are given
(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it
we can simplify it
(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):
we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):
Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪
..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):
we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):
Since, it is quadratic equation
so, its range will be
now, we can find common range
so, range will be
∪
.............Answer
Answer:
Step-by-step explanation:
Pythagorean theorem:
Alternative:
Alternative (derived from the Pythagorean theorem):
All 45-45-90 triangles have side lengths , where
is the hypotenuse. Since this triangle's hypotenuse is
, its sides are
.