Given f (x) = 4x+6 and g (x) = 9x+9

then what is f (g (-6)) ?

F (x) = 4x+6

g (x) = 9x+9f (g (-6))

f (x) ·g (x) = (4x+6) (9x+9)

f (x) ·g (x) = 36x^2 + 36x+54x+54

f (x) ·g (x) = 3 6x^2 + 90x+54

f (x) ·g (x) = 3 6 (-6) ^2 + 90 (-6) + 54

f (x) ·g (x) = 3 6 (36) + 90 (-6) + 54

f (x) ·g (x) = 1296 + (-540) + 54

f (x) ·g (x) = 1296-540+54

f (x) ·g (x) = 810

f (g (-6)) = 810

To solve this question, you can break it into 2 parts. First evaluate the function g (X) = 9x+9 for g (-6). Which is g (-6) = 9 (-6) + 9 = - 45. Then evaluate f (-45). F (-45) = 4 (-45) + 6 = - 180+6 = - 174. The final answer for f (g (-6)) = - 174.