Ch. 5 Second Quiz Flashcards
When solving any compositions of functions problem, the ____ have to be the same
The bases or the x’s
What do you base the domain on?
The simplified equation before plugging the x in
How does an even root effect the domain?
An even root makes it
[0, ∞] or x>0
How does an odd root effect the domain?
An odd root makes it (-∞, ∞) or all real numbers
True or False
A neg x= affects the end answer when you plug it in
False, a neg. x won’t make the answer x
How to solve multiplication and division problems
Mult. and divide x’s but add and subtract exponents
When you can’t simplify/divide a fraction, what do you do with the x?
The x and its exponent gets separated from the fraction
IF THE FRACTION EXPONENT HAS AN EVEN NUMBER IN THE DENOMINATOR, WHAT IS THE DOMAIN?
It will be [0, ∞) or x>0 because that makes an even root
IF THE FRACTION HAS AN ODD NUMBER IN THE DENOMINATOR, WHAT IS THE DOMAIN?
It will be all real numbers
How to solve composition of function equations
Take the second function in the parentheses and plug it into the first function
In composition of function equations, what do you base the domain on?
The end result maybe
How do you simplify an equation with a neg. exponent?
Put the entire equation over 1
What will be the domain be in a fraction?
It has to be (-∞, x) U (x, ∞)
How to solve inverse function equations
Switch X and Y
Solve for y
Plug numbers into the original equation and the new equation
When adding/subtracting functions, do the exponents have to be the same or different?
The same
