Answer:g(f(x))= x^2 +6x+5
Step-by-step explanation:
g(f(x))= x^2 -4
g(f(x))= (x+3)^2 -4
g(f(x))= (x+3)(x+3) -4
g(f(x))= x^2 +6x+9-4
g(f(x))= x^2 +6x+5
The base of 6 is the same, so add 1/2+1/2 =1
6^1 = 6
Answer:
(x - 5i)(x + 5i)
Step-by-step explanation:
Write this as x^2 + 25. Solving for x^2, we get x^2 = -25.
Recall that the square root of a negative number is an imaginary one. √(-25) equals ±5i (there are two roots, one positive and one negative).
Then x = ±5i.
In factored form, the given expression is (x - 5i)(x + 5i).
Answer:

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
In the right triangle ABC
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values


The answer:
the full question is if f(x) = 3 [ x - 2 ] , what is f(5.9)?
9
10
11
<span>12
</span>first, [x - 2 ] is called the integer part of x-2,
generally, to compute f(c) where c is a real number, it is sufficient to substitute the value of x by c.
so <span>f(5.9) = 3 [ 5.9 - 2 ] = 3 [ 3.9 ]
as we know that </span>[ 3.9 ]=3
<span>
therefore
</span>3 [ 3.9 ]<span>= 3x3 =9
the answer is 9</span>