Hello :
let :
calculate : x ......x <span>≠ -1
</span>
the inverse function is :
domain of : g is the range of : f
as an interval : ]-∞: 3 <span>[</span>U ]3;+∞[
Answer:
1.5 x -0.4 = -0.6 or -6/10 or -3/5
Step-by-step explanation:
1 1/2= 3/2x(-6/15)
3/2 = 1.5 -6/15 = 0.4
1.5 x -0.4 = -0.6 or -6/10 or -3/5
A graph of the function is shown below.
Answer:
a = 7 and b = - 18
Step-by-step explanation:
If (x - 1) is a factor of f(x) then x = 1 is a root and f(1) = 0, thus
f(1) = 1³ + 10(1)² + a + b = 0 and
1 + 10 + a + b = 0 ⇒ a + b = - 11 → (1)
Similarly if
(x + 2) is a factor then x = - 2 is a root and f(- 2) = 0
f(- 2) = (- 2)³ + 10(- 2)² - 2a + b = 0, thus
- 8 + 40 - 2a + b = 0 ⇒ - 2a + b = - 32 → (2)
Solve (1) and (2) simultaneously
Subtract (1) from (2)
- 3a = - 21 ( divide both sides by 3)
a = 7
Substitute a = 7 in (1)
7 + b = - 11 ⇒ b = - 11 - 7 = - 18
The required polynomial is
f(x) = x³ + 10x² + 7x - 18
Answer: 8.51
Step-by-step explanation:
