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If f(x) = 2x^2-6 and g(x) = 2x 1, evaluate f(g(x)) when x = -3

Sagot :

Answer:

44.

Step-by-step explanation:

We find f(g(x)) by substiting  g(x) ( = 2x+1) for x in f(x):

f(g(x)) = 2(2x+1)^2-6

Evaluating this when x = -3, we have:

f(g(-3)) = 2 *((2*-3) +1)^2) - 6

           = 2*(-5)^2 - 6

           = 2*25 - 6

           = 44