Answer:
-93
Step-by-step explanation:
Step one:
given the expressions
[tex]f(x) = -4x + 7\\\\g(x) = 2x^2 + 5x- 8[/tex]
we want (fog)(-3).
but (fog) is
[tex]f(x) = -4x + 7\\\\\ (fog)=-4(2x^2 + 5x -8) + 7\\\\ (fog)=-8x^2-20x+32+7[/tex]
Step two:
fog(-3)= put x= -3 in (fog)(-3)=-8x^2-20x+32+7
[tex](fog)(-3)=-8x^2-20x+32+7\\\\ (fog)(-3)=-8(-3)^2-20(-3)+32+7\\\\ (fog)(-3)=-8*9+60+32+7\\\\ (fog)(-3)=-72-60+32+7\\\\ (fog)(-3)=-93[/tex]
