PreCalculus
posted by Shreya on .
Operations with Functions
write the function below as either a sum/difference/product/quotient of 2 r more functions
a. h(x) = x^2+3x+9
How Would I do this? My teacher just did this
f(x) = x^2
g(x) 3x+9
^I don't really understand
h(x)=(x+5)(x3)
how would I do this one?
If h(x) = x+2, write 2 different functions f(x) and g(x) such that:
a. f(x) + g(x) = h(x)
c. f(x)  g(x) = h(x)

f(x) + g(x) = (x^2) + (3x + 9) = x^2 + 3x + 9 = h(x)
you can break it into whatever pieces you like
h(x) = (x + 5)(x + 3) = x^2 + 8x + 15
f(x) = x^2 + 9 ; g(x) = 8x + 6
h(x) = f(x) + g(x)
a. f(x) = 3x  1 ; g(x) = 3  2x
__ (3x  1) + (3  2x) = x + 2 = h(x)
b. f(x) = 7x  3 ; g(x) = 6x  5
__ (7x  3)  (6x  5) = x + 2 = h(x)