f(g(-1)) = - 3
Evaluate g(-1) and substitute into f(x)
g(-1) = (-1)² -7(-1) - 9 = 1 + 7 - 9 = - 1
f(g(-1)) = (-1) - 2 = - 3
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
Answer:
c 7
Step-by-step explanation:
5a^3 + 9a^2 +7a+4
The coefficient of a is the number in front of a
Answer:
4/5
Step-by-step explanation:
Answer:
Examples for the problem would be:
1) Robert started to run out of his house as fast as he can
2) But he slowed down when he met up with his friends
3) They then stopped at a park along the way
4) After stopping at the park, they ran the rest of the way to school hoping they wouldn't be late.
or
1) Robert met with his friends right outside his house and raced them to the next block
2) After Robert won, they all walked normally to the park
3) They then stopped at the park for a quick break
4) After realizing class was gonna start in a few minutes, they ran as fast as they could to school
Step-by-step explanation:
For the first part, you want Robert to be running at a normal running speed, such as him racing his friends or just running.
For the second part you want him to be walking at a slower pace.
For the third part you want them to not be moving
For the fourth part, you'll explain how/why they're moving so fast since the graph shows that he ran fastest at this time.
