F s (x) = 2 - x2 and t (x) = 3x, which value is equivalent to (s*t) (-7)

Question

Choi

Mathematics

26 December, 09:07

F s (x) = 2 - x2 and t (x) = 3x, which value is equivalent to (s*t) (-7)

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Brandi · Answer 1

S (x) = 2 - x²

t (x) = 3x

s (t (x)) = st (x)

s (t (x)):

s (3x)

So in s (x) = 2 - x², to solve for s (3x) we replace x with 3x

s (x) = 2 - x²

s (3x) = 2 - (3x) ²

= 2 - 9x²

st (x) = 2 - 9x²

st (-7) = 2 - 9 * (-7) (-7)

= 2 - 9*49 = 2 - 441 = - 439

st (-7) = - 439