Answer:
A
Step-by-step explanation:
Substitute x = f(x) into g(x), that is
g(f(x))
= g(3x² - 2x - 1)
= (3x² - 2x - 1)² = (3x² - 2x - 1)(3x² - 2x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(3x² - 2x - 1) - 2x(3x² - 2x - 1) - 1(3x² - 2x - 1) ← distribute parenthesis
= 9 - 6x³ - 3x² - 6x³ + 4x² + 2x - 3x² + 2x + 1 ← collect like terms
= 9 - 12x³ - 2x² + 4x + 1 → A
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em>
Answer:
y = 3x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = =
=
= 3
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line
