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Math 11

SLS - Math 11 - Ch 5.1-5.3 - Function Notation

f(x)=2x-3, g(x)=x^2Answer
f(3)+2g(-1) 5
(f+g)(x) = x^2 + 2x - 3
(f-g)(x) -x^2 + 2x - 3
(fg)(x) 2x^3 -3x^2
(f/g)(x) = (2x - 3)/(x^2) restriction: x doesn't equal 0
When do you have to list restrictions? Whenever there's an x on the bottom of a fraction. Sometimes teachers will NOT take off marks. But you're safest to write it each time.
f(g(x)) 2x^2 - 3
f(f(x)) 4x - 9
g(g(x)) x^4
(fg)(-3) -81
f(f(0)) -9
(g/f)(4) 16/5
the inverse of f(x) (x + 3) / 2
the inverse of g(x) square root of x
What are the steps to prove whether or not f(x) and g(x) are inverses of eachother? Plug each function into the x variable of the other. If both simplify to x, they are inverses.
Created by: slscarrie