Homework Statement
If f(x) = x3+3x2+4x+5 and g(x)=5, then g(f(x)) = ?
Homework Equations
The Attempt at a Solution
I don't know if I am correct.
g(f(x)) =
g(x3+3x2+4x+5)= 225?
I plugged 5 into the equation. Am I right?
I found that if I plugged in the formula:
CostA = ((1.25x)/20) + 4000
CostB = ((1.25x)/30) + 5500
into my calculator, and then made a table, plugging in values of x; in factors of 10000; it sped it up a little bit.
I got 72,000 miles for where they are equal. So, after 72,001 miles would make Car B the best choice.
Do you know if there is a faster way to complete this problem?
Homework Statement
Bob is deciding whether to buy Car A which is $4000 and 20mpg, or Car B which is $5500 and 30mpg. Bob guesstimates that the gas will be about $1.25 per gallon. Repair costs will not factor into this problem. How many miles would Bob need to drive, before Car B becomes the...
Here it is:
A circle with center (–3,4) is tangent to the x-axis in the standard (x,y) coordinate plane. What is the radius of this circle?
I have no idea where to start. I know there is some rule about tangency and circles, but I am unsure. Thanks!