Answer: - 49
Step-by-step explanation:
f(x) = -2x - 1
g(x) = [tex]x^{2}[/tex] - 1
fg(x) = f ([tex]x^{2}[/tex] - 1) , we just put in the value of g(x) , the next thing is to substitute [tex]x^{2}[/tex] - 1 for the value of x in f(x) , that is
fg(x) = -2([tex]x^{2}[/tex] - 1) - 1
fg(x) = -2[tex]x^{2}[/tex] + 2 - 1
fg(x) = -2[tex]x^{2}[/tex] + 1
Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is
fg(-5) = -2 ([tex](-5)^{2}[/tex] + 1
fg(-5) = -2(25) + 1
fg(-5) = -50 + 1
fg(-5) = -49
