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horizontal line test
finding composition using function formulas

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y=mx+b

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y=mx+b

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f()=mx+b
vertical line test

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the inverse has to pass the horizontal line test.An inverse can be a function but the original function might not.

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A function is an inverse if when plugged in to each other x=x.

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inverse has to pass the horizantal line test

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Parent functions are functions in which there is no change to the beginning  function it isn't moved up/down or left/right

A function switches x and y

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- f(x)^-1 is the inverse of a function.
- You find the inverse by switching the x and y values in a function.
- In the chart of the function there is one x val for every y val.
-

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y=mx+ sb

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^ -1

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y=mx+

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f(x)=mx+b

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f(x)=mx+b
Parent functions
^-1
fog

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y=x
y=mx+b
pass verticle line test
x=x
y
x
f(x)=mx+b
f(x)
^-1
f of g
g of f

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Functions:
They include an equal sign
Pass the vertical line test
Have one output for each input
Composite Function:
Has one function inside of another?

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one output for each input
fog

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f(x)=mx+b

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f(x)=mx+b
(x,y)
vertical line test
horizontal line test
f(g)
g(f)

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y=mx+b

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Parent functions:
y=x^2
y=x
y=x^2+y^2
________________
Composite functions, work your way outward.
H(F-(G))
Solve  -g then -g timesf

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y=mx+b
vertical line test
horizontal line test
inverse found by switching x and y and solving for
f(x)=mx+b
f(g) and g(f)

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-inverse has to pass the horizontal line test
-function has to pass the vertical line test

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y=mx+b