Math problem help? ?

Question

f (x) = -x^2 - 1 and g ( x) = x + 5

find f ( g (x) )

i know how to do these kind of problem, but i dk if you should put it negative first or square it first

if i do negative first i get x^2 + 10 + 24

but if i square it first i get -x^2 - 10 x - 26

which one is right???

Answer 1

f(x) = -x² - 1

g(x) = x + 5

f(g(x)) = -{[g(x)]²} - 1

f(g(x)) = -[(x + 5)²] - 1

f(g(x)) = -(x² + 10x + 25) - 1

f(g(x)) = -x² - 10x - 25 - 1

f(g(x)) = -x² - 10x - 26

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Answer 2

-x^2 = -(x^2) ... but (-x)^2 = x^2

so u pick the first one

-x^2 - 1 = -x^2 - 1 =  - (x^2 + 1)

in another way power operator comes before negative sign operator

so the answer is

f(g(x)) = - (x+5)^2 - 1

= -x^2 -10x  -25 - 1

= -x^2 - 10 x - 26