Answer:
f(g(-1)) = 7
Step-by-step explanation:
Given the functions
f(x) = x^2 + 3x - 11
g(x) = 3x+6
f(g(x)) = f(3x+6)
f(3x+6) = ( 3x+6)² + 3( 3x+6) - 11
Substitute the value of x = -1
f(g(x)) = ( 3x+6)² + 3( 3x+6) - 11
f(g(-1)) = ( 3(-1)+6)² + 3( 3(-1)+6) - 11
f(g(-1)) = (-3+6)²+3(-3+6) - 11
f(g(-1)) = 3² + 3(3) - 11
f(g(-1)) = 9+9-11
f(g(-1)) =18 -11
f(g(-1)) = 7
