If f(x) = 3x^2 -2x-1 and g(x) = x^2 find (gof) (x)
1 answer:
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
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Answer:
x = 1.434 and x=0.232
Step-by-step explanation:
To find the root of the equation stated above we need to:
(1) Write the polynomial equation with zero on the right hand side:
⇒
(2) Divide the whole equation by 3
⇒
(3) Use the quadratic formula to solve the quadratic equation:
The quadratic formula states that the two solutions for a quadratic equation is given by:
(1)
In this case, a = 1, b =
Substituiting a, b and c in equation (1) We get:
(1)
The two solutions are:
x = 1.434 and x=0.232