SOLUTION: Question-- let f(x)= x2 +3x - 1 and g(x) = x - 1 find and simplify (f o g) (x) What i have so far: g(-1) = -1 - 1 = 0 f(0) = (0) squared + 3 (0) - 1 = -1 Is th

Algebra ->  Functions -> SOLUTION: Question-- let f(x)= x2 +3x - 1 and g(x) = x - 1 find and simplify (f o g) (x) What i have so far: g(-1) = -1 - 1 = 0 f(0) = (0) squared + 3 (0) - 1 = -1 Is th      Log On


   

Question 54141: Question-- let f(x)= x2 +3x - 1 and g(x) = x - 1 find and simplify (f o g) (x)
What i have so far:
g(-1) = -1 - 1 = 0
f(0) = (0) squared + 3 (0) - 1 = -1

Is this correct???
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
It appears that you are trying to simplify a composite function. I'm not sure why your substituting -1 and 0 into the functions unless you were given some instruction that I am unaware of.
f%28x%29=x%5E2%2B3x-1
g%28x%29=x-1
fog(x)=f(g(x))=f(x-1) Which means you substitute the g function everywhere there's an x in the f function.
f%28x-1%29=%28x-1%29%5E2%2B3%28x-1%29-1
f%28x-1%29=%28x-1%29%28x-1%29%2B3x-3-1
f%28x-1%29=x%5E2-x-x%2B1%2B3x-4
f%28x-1%29=x%5E2-x-x%2B3x%2B1-4
highlight%28fog%28x%29=f%28x-1%29=x%5E2%2Bx-3%29
Happy Calculating!!!