Question

If s(f) = x-7 and t(x) = 4x^2-x+3, which expression is equivalent to (t•s)(x)

Answer 1

Answer:

$t(s(x)) = 4x^2 -15x +59$

Step-by-step explanation:

The expression (t•s)(x) means t(s(x)) or t of s of x.  It means to substitute s(x) into the equation for t(x).

$t(s(x)) = 4(x-7)^2 -(x-7) + 3\\t(s(x)) = 4(x^2-14x+49) - x + 7 + 3\\t(s(x)) = 4x^2 - 14x + 49 - x + 10\\t(s(x)) = 4x^2 -15x +59$