SOLUTION: The question says: Let f(x)=x^(2)+5 and g(x)=x-7 . Perform these function operations: f(x)=g(x), f(x)multiplied by g(x), f (g(2) ), and g( f(x)). I would appreciate much help on th

Question 608425: The question says: Let f(x)=x^(2)+5 and g(x)=x-7 . Perform these function operations: f(x)=g(x), f(x)multiplied by g(x), f (g(2) ), and g( f(x)). I would appreciate much help on these several problems.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Let f(x)=x^(2)+5 and g(x)=x-7 . Perform these function operations:
f(x)=g(x)
x^2+5 = x-7
x^2-x+5 = -7
x^2-x+12 = 0
(x-4)(x+3) = 0
x = {-3, 4}
.
f(x)multiplied by g(x)
(x^2+5)(x-7)
FOIL
x^3-7x^2+5x-35
.
f(g(2))
g(2) = 2-7 = -5
f(g(2))= f(-5) = (-5)^2+5 = 25+5 = 30
.
g( f(x))
x^2+5-7
x^2-2
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