if f(0)=2 what's g(x)f=(-14-8x)

Question

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Answer 1

Hi Kassandra P.,

If f(0) = 2, the one possible solution for f(x) is f(x) = x + 2, then:

g(x) = f(-14-8x) = -14 - 8x + 2 = -12 - 8x,

but this is one of many possible solutions. We could just as easily have chosen f(x) = x² + 2, f(0) = 2, but then:

g(x) = f(-14-8x) = (-14 - 8x)² + 2 = 198 + 224x + 64x²,

and many more. But the simplest being the first equation.

I hope this helps, Joe.