4 years ago

If f(x) = 3x – 1 and g(x) = x^2 + 4, find the (gºf)(x).

Mathematics

1 answer:

mezya [45]4 years ago

5 0

Answer: 9x²-6x+5

Step-by-step explanation:

To find (gοf)(x), you want to plug f(x) into g(x). It is the same as g(f(x)).

g(f(x))=(3x-1)²+4 [distribute by FOIL]

g(f(x))=9x²-6x+1+4 [combine like terms]

g(f(x))=9x²-6x+5

Now, we know that (gοf)(x)=9x²-6x+5.

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