f(g(x)) means to plug the value of g(x) into every x you see in f(x) and do the math.
g(x) = 3x
f(3x) = 2(3x) - 1
f(3x) = 6x - 1
So, f(g(x)) = 6x - 1.
Understand?
h(f(x)) means to plug the value of f(x) into every x you see in h(x) and do the math.
h(x) = x^2 + 1
h(2x - 1) = (2x - 1)^2 + 1
h(2x - 1) = (2x - 1)(2x - 1) + 1
h(2x - 1) = 4x^2 - 4x + 1 + 1
h(2x - 1) = 4x^2 - 4x + 2
So, h(f(x)) = 4x^2 - 4x + 2
Understand?
This is called COMPOSITION OF FUNCTIONS.
Answer:
You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.
<u>Answer:</u>
are two roots of equation
<u>Solution:</u>
Need to solve given equation using quadratic formula.
General form of quadratic equation is
And quadratic formula for getting roots of quadratic equation is
In our case b = -1 , a = -3 and c = -3
Calculating roots of the equation we get
Since is equal to -35, which is less than zero, so given equation will not have real roots and have complex roots.
Answer:
X - 2.
Step-by-step explanation:
x - 2
----------------------------
x2 – x + 1 ) x3 – 3x2 + 3x – 2
x3 - x2 + x
-------------------
-2x^2 + 2x - 2
-2x^2 + 2x - 2
---------------------
0