Answer:53
Step-by-step explanation:
Answer:
x = -
Step-by-step explanation:
To find f(g(x)) substitute x = g(x) into f(x), that is
f(g(x))
= f(x + 1)
= 2(x + 1)² ← expand using FOIL
= 2(x² + 2x + 1) ← distribute
= 2x² + 4x + 2
To find g(f(x)) substitute x = f(x) into g(x), that is
g(f(x))
= g(2x²)
= 2x² + 1
----------------------------------------------------------
Equating gives
2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )
4x + 1 = 0 ( subtract 1 from both sides )
4x = - 1 ( divide both sides by 4 )
x = -
Step-by-step explanation:
............... B. 6x²+6x+9
Lisa is measuring the depth of a well. She drops a ball from a height of h feet into the well and measures how long it takes the ball to hit the bottom of the well.
Polynomial =
where 0 is the initial speed and h is height it was dropped .
Now find depth of the well, when t = 3.5 seconds and h = 6 ft
=
=
= -196 + 6
= -190
So depth of the well is 190 feet (negative sign represents the depth, below the ground)