find f * g if f(x) = x^2-7 and g(x) = 2x+4
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do i combine the two equations?
Originally Posted by aikenfan find f * g if f(x) = x^2-7 and g(x) = 2x+4 It depends. $\displaystyle (f * g)(x) = (x^2 - 7)(2x + 4)$ if this is multiplication of functions. If it is composition of functions: $\displaystyle (f \circ g)(x) = f(g(x)) = f(2x + 4) = (2x + 4)^2 - 7$ -Dan
It is this: (f \circ g)(x) = f(g(x)) = f(2x + 4) = (2x + 4)^2 - 7 but i am a bit confused
I think aikenfan asked for $\displaystyle (f\circ{g})$ $\displaystyle (f\circ{g})=f(g(x))=(g(x))^2-7=(2x+4)^2-7$ Which is the same result of Dan
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