The domain of g alone is {x | x ≠ 0}, and the domain of f is all reals. So the domain of (f ◦ g) is the domain of g
{x | x ≠ 0}.
(f ◦ g)(x) = 1/x + 3.
The range of g(x) = 1/x is actually the same as its domain {y | y ≠ 0}. Adding three, the range of f ◦ g is all reals except for 3,
{y | y ≠ 3}
The line y = 3 is actually an asymptote (horizontal) to the graph of f ◦ g.
Answer:
- 473
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 2 - 7 = - 3 - 2 = - 8 - (- 3) = - 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = - 5, thus
= 7 + (96 × - 5) = 7 - 480 = - 473
Answer:
i looked it up and got 2 difernt answers one said -11 the other said 0 so im sorry idk
Step-by-step explanation:
Given that the rectangle is x²+4x-12, the possible sides will be given by:
a]
x²+4x-12
=x²+6x-2x-12
=x(x+6)-2(x+6)
=(x-2)(x+6)
thus the dimensions are (x-2) units (x+6) units
b]
x²+2xy-48y²
factorizing the above is:
x²+8xy-6xy-48y²
=x(x+8y)-6y(x+8y)
=(x+8y)(x-6y)
c]
24x²-4x-8
factoring the above we get:
=4(6x²-x-2)
=4(6x²+3x-4x-2)
=4(3x(x+2)-2(x+2))
=4(3x-2)(x+2)
=(12x-8)(4x+8)
Answer:
k = 4
Step-by-step explanation:
In order for the claim to be true, (x-3) must be a factor of each of the terms in the first expression. That is, you must have that expression factor as ...
(x -3)(2x +5) +(x -3)(x +7)
Factoring out (x -3), we get ...
= (x -3)(2x +5 +x +7) = (x -3)(3x +12)
= 3(x -3)(x +4)
The value of k must be 4.
