Find the x-and y -intercepts. y=20 The x-intercept is The y-intercept is
1 answer:
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and h(x)= 2x-8
g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6
Answer:
x = 14 days
Step-by-step explanation:
To answer the question, find a function that represents the payment mode of plan A and an equation that represents the mode of payment of plan B.
For Plan B the payment is constant every afternoon, $ 11.5 (or 1150 cents) so the equation to represent this form of payment is as follows:
A = 1150x (with units in cents)
This equation represents the line of a line of slope 1150, which passes through point (0,0). Where x is the number of days {1, 2, 3 ....}
In form of payment B, the amount of payment is doubled each day. And the first payment is 2 cents. Therefore this model is represented by an exponential base 2 equation of the form:
Where x represents the number of days, which is always greater than 0 {1, 2, 3, 4 ...}
To know in which day the salary will be approximately the same we equate both equations and we clear x.
A = B
It is a somewhat difficult equation to solve, so I recommend iterating to get a value where the function approaches 0 (when this difference is zero it means that the A and B salaries are the same).
Suppose
x = 13 days
cents
It is not equal to 0.
Let's try with x = 15
cents
Then the value that makes the function zero is between x = 13 and x = 15
Let's try with x = 14
cents = 2.84 $ difference. X = 14 is the whole number where functions A and B are closer together (the salary is approximately the same). Therefore the answer is
x = 14 days