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operations of functions
composite functions
100
(f+g)(x) = and (f - g) (x) =
What is f(x) + g(x) and f(x) - g(x)
100
When an output of a function depends on some input that is actually an output of another function, we all this ____ functions. example temperature: c(t) = (5/9)(t-32) where c(t) is temp in celcius & t is the temp in fahrenheit. and k(c) = c + 273 is the temp in kelvin which depends on c,the temp in celcius. If t=50 degrees fahrenheit what is the temp in kelvin?
What is composite. And for example k(10)=283 degrees kelvin!
200
(f*g)(x) = and is NOT to be confused with (f o g ) (x)
What is f(x) * g(x)
200
(f o g) (t) is equal to
What is f (g(t)) in other words g(t) is the input for f
300
The quotient (f/g) (x) is
What is f(x) divided by g(x) , where the denominator g(x) cannot equal 0 (domain!!)
300
(k o c) (x) = ____ For example if c(x) = (5/9)(x-32) and k(x)=x+273, then (k o c) (x) is
What is k(c(x)); and k( (5/9)(x-32) ) =(5/9)(x-32) + 273 = (5x +2297)/9
400
if f(x) = x +2 and g(x) is equal to 3x + 5. a) (f+g)(x), b) (f - g) (x) and c) (g - f) (x) d) (f*g) (x) e) (f/g) (x) and f) (g/f)(x) are...
What is a) 4x + 7 , b) -2x -3 , c) 2x +3 d) 3x^2 +11x +10 e) (x+2) / (3x +5) where x not equal -5/3 and f) (3x+5) / (x+2) where x not equal -2
400
if f(x) = x^2 +1 and g(x) = 3x - 5 , then a) (f o g) (x) is ___ and b) (g o f) (x) is
What is a) f(g(x))= (3x -5)^2 + 1 = 9x^2-30x +26 and b) g(f(x)) = 3 (x^2 +1) - 5 = 3x^2 -2
500
Graph some of the functions and state the relationship observed related to the results and original functions
What is ...answer varies based on operation
500
Example 4 on p. 709: f(x) = 5x, g(x) = x-2 , h(x) = sqrrt x then F(x) = sqrrt(x-2) can be written as what composite fn?
What is h(g(x)) = (h o g)(x)