SOLUTION: If {{{g(x)= f(x-2)}}} and {{{f(x)= 4-x^2}}}, find the value of g(0).

Algebra ->  Functions -> SOLUTION: If {{{g(x)= f(x-2)}}} and {{{f(x)= 4-x^2}}}, find the value of g(0).      Log On


   

Question 1196269: If g%28x%29=+f%28x-2%29 and f%28x%29=+4-x%5E2, find the value of g(0).
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

g(0) = f(0-2) = f(-2) = 4+-+%28-2%29%5E2 = 4 - 4 = 0.    


ANSWER.  g(0) = 0.

Solved.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
g%28x%29=+f%28x-2%29
and f%28x%29=+4-x%5E2

find; the value ofg%280%29

first find g%28x%29
g%28x%29=+f%28x-2%29
g%28x%29=+4-%28x-2%29%5E2
g%28x%29=+4-%28x%5E2+-+4x+%2B+4%29
g%28x%29=+4-x%5E2+%2B+4x+-+4
g%28x%29=+-x%5E2+%2B+4x+

now find g%280%29

g%280%29=+-0%5E2+%2B+4%2A0+
g%280%29=+0+