Hi, i've been posed a maths tutorial on functions and i'm just looking for someone to check my answer. I would get a classmate or lecturer to do it, but it's reading week and no-one is around.

So, With that in mind.

Given f(x)= 4x + 6 , g(x)= 2xSquared -3x + 5, and h(x)= 6x, find h(g(f(x)))

here's my answer

f(x)=4x-6

g(f(x))= 2(4x-6)squared -3(4x-6) + 5

-> 2(16x -36) -3(4x-6) + 5

-> (32x - 72) (12x-18) + 5

-> (44x - 90 + 5)

h(g(f(x))) = 6(44x - 90 + 5)

->(264x 540 + 30)

h(g(f(x)))= 264x -540 + 30

correct?

Did i mess up along the way or does this look right?

Any pointers you can give me would be good, as well as a way to display the character for squared, cubed etc. thanks in advance. Also apologies if i got this in the wrong forum.