Answer:
x² + 4x + 3
Step-by-step explanation:
to find f(g(x)), substitute x = g(x) into f(x)
f(g(x)) = f(x + 2) = (x + 2)² - 1 = x² + 4x + 4 - 1 = x² + 4x + 3
Answer:
In this problem, we need to describe the relation between variables, if that relation is functional or not. It's important to say that we assumed that the first variable is independent, and the second is dependent.
<h3>(a)</h3>
Age - Height of the person along his life: These variable are functinal and make total sense, because through time the person grows, which means the height changes as the age increases. These variables have a proportional relationship.
<h3>(b)</h3>
Height - Age of the person: These relation is not functional, becasuse age can't be a dependent variable, beacuse the age of a person doesn't depends on his height.
<h3>(c)</h3>
Gasoline price - Day of the Month: These relation is not functional, becasue time must be the independent variable.
<h3>(d)</h3>
Day of the Month - Gasoline price: These realation make sense, beacuse the price of the gasoline can be depedent of the day of the month.
<h3>(e)</h3>
A number and its fifth part: Notice that the fifth part depends on the number, it's defined by it, so this can be a function.
<h3>(f)</h3>
A number and its square root: These two variables represent a function, where "a number" represents the domain value and "its square root" represents a range vale.
Answer:
Your teacher is correct.
Step-by-step explanation:
So first we would have to find what A is equivalent to which is 48. This is because 180 - 132 = 48. Since we know that 132 is a supplementary angle, there has to be another supplementary angle that results in the sum of 180.
With this information in mind, we can create the expression:
2x + 4x + 48 = 180 (A triangle is equal to 180 degrees)
Now simply the equation:
6x + 48 = 180
6x = 132
6x/6 = 132/6
x = 22
Angle C = 44
Angle B = 88
The company spends $649 on advertising
The sales function after advertising is given as:
When the total sales is $19,100, we have S(x) = 19100
So, the sales function becomes
Subtract 5 from both sides
Divide both sides by 7
Take exponents of both sides
Subtract 1 from both sides
Hence, the company spends $649 on advertising
Read more about functions at:
brainly.com/question/12940982
When a zero of a function does not cross the x-axis but touches it, this means that the zero is a "double root". It has two of the same factor (x - 4)^2 and two of the same zeros, x = 4 and x = 4
f(x) = x^2 - 8x + 16 would be the function with a double root at 4
