If f (x) = 3x + 3, g (x) = 3x + 3, and h (x) = x + 3, what is [g o f o h] (-5) ?

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Today, 10:34

If f (x) = 3x + 3, g (x) = 3x + 3, and h (x) = x + 3, what is [g o f o h] (-5) ?

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Hamza Hendrix · Answer 1

To find g (f (h (x))), start with f (h (x)) = 3 (x+3) + 3 then g (f (h (x))) = 3 (3 (x+3) + 3) + 3

therefore g (f (h (x))) = 3 (3x+9+3) + 3 = 3 (3x+12) + 3 = 9x+36+3 = 9x+39

Now g (f (h (-5))) = 9 (-5) + 39 = - 45+39 = - 6