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

Solution:

Given, s(x) = 2 - x²

t(x) = 3x

We have to find s(t(-7)).

s(t(x)) = s(3x)

= 2 - (3x)²

s(t(x)) = 2 - 9x²

Now, put x = -7 in above equation,

s(t(-7)) = 2 - 9(-7)²

= 2 - 9(49)

= 2 - 441

s(t(-7)) = -439

Therefore, the value of s(t(-7)) is -439.

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

Summary:

If s(x) = 2 - x² and t(x) = 3x, the value equivalent to s(t(-7)) is -439.