plug the g-function into the x's of the f-function

If both compositions simplify to be "x", that means....

the two functions are inverses of each other

plug the f-function into the x's of the g-function

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Function Combinations/Inverses

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Questions 11

Answers

1
The main concept of "inverses" is....
changing positives to negatives
taking the function to the power of -1
dividing instead of multiplying
switching x and y
2
"Finding f^-1(x)" means....
multiply by -1
find the inverse
take the function to the power of -1
flip the function
3
(f o g)(x) means....
there's fog outside
plug the g-function into the x's of the f-function
plug the f-function into the x's of the g-function
multiply the f-function w/ the g-function
4
When f(x) and f^-1(x) are graphed on the same coordinate plane, there should be a reflection....
over the y-axis
about the origin
over the x-axis
over the line y = x
5
If both compositions simplify to be "x", that means....
nothing
the two functions are inverses of each other
"x" marks the spot
the two functions are NOT inverses of each other
6
To determine if two functions are inverses of each other, you must....
divide them by x
guess
multiply the two functions together
do the compositions
7
When graphing both a function and it's inverse, I suggest you....
strictly use the calculator
copy the person next to you
strictly graph them by hand
create t-tables
8
(g o f)(x) means....
plug the f-function into the x's of the g-function
plug the g-function into the x's of the f-function
multiply the two functions
someone misspelled golf
9
A binomial squared ex. (x - 3)², needs to be treated as....
distributing the exponent
multiplication of 2
foiling
just squaring the 3
10
What must be done whenever there is subtraction before parenthesis?
Nothing
The composition
Distribute a negative
Multiply just the 1st term by -1
11
When performing (f/g)(x), which of the following should you NOT look to do?
Factor
Difference of Squares
Cross out whatever you want
Take out a GCF

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