Answer:
(-2, -6)
Step-by-step explanation:
g(x) = (x+2)²-6
= x²+4x+4-6
= x²+4x-3
the vertex :
x = -4/2 = -2
y = (-2+2)²-6 =0-6 = -6
point of vertex : (-2, -6)
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
Answer:
f^-1(x) = x - 2
Step-by-step explanation:
To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.
x = y + 2
-2 both sides.
x - 2 = y
y = x - 2
The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).
f^-1(x) = x - 2
I hope you find this helpful. :)
Answer:
x = ± 6
Step-by-step explanation:
Given
x² - 72 = 0 ( add 72 to both sides )
x² = 72 ( take the square root of both sides )
x = ±
= ±
= ± 6
Answer:
-2
Step-by-step explanation:
image attached!