askeepi8lnata
askeepi8lnata askeepi8lnata
  • 12-06-2016
  • Mathematics
contestada

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)). (1 point)


−7
−3
10
33

Respuesta :

metchelle
metchelle metchelle
  • 12-06-2016
Since the expressions for f(x) and g(x) are already given, f(g(2)) means to substitute the value of 2 to the expression of g(x), then further substituting the obtained value of g(2) into the expression of f(x). This is shown below:

f(x) = x + 8
g(x) = x^2 - 6x - 7

f(g(x) = x^2 - 6x - 7 + 8 
f(g(2)) = 2^2 - 6(2) + 1
f(g(2)) = 4 - 12 + 1
f(g(2)) = -7

Therefore, the correct answer is -7.
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