The answer of this question is 4
How many boxes are there in total?
Simply substitute the value of
3
given. In other words,
f
(
3
)
is the function of
f
(
x
)
, however, in this case,
x
is
3
f
(
3
)
=
3
(
3
)
−
4
Distribute
3
through the parenthesis
f
(
3
)
=
9
−
4
Simplify
f
(
3
)
=
5
Answer:
Domain -∞ < x < +∞
Range f(x) ≤ - 4
Step-by-step explanation:
The given quadratic function is f(x) = - 4 (x + 1)² - 4
Now, we have to find the domain and range of the quadratic function.
Now, it is clear from the given function that f(x) will have real value for all real value of x.
Therefore, the domain of the function is -∞ < x < +∞ (Answer)
Now, (x + 1)² is always ≥ 0
i.e. (x + 1)² ≥ 0
⇒ - 4 (x + 1)² ≤ 0 {Since the inequality sign changes for multiplying both sides of the equation by a negative term}
⇒ - 4 (x + 1)² - 4 ≤ - 4
⇒ f(x) ≤ - 4
Therefore, this is the required range of the function f(x). (Answer)
Answer:14/16
Step-by-step explanation:
14/16
