I think, the answer will be -7
We have:
f(x)=1/(x-2)
g(x)
Then:
(fg)(x)=[1/(x-2)](g(x))=g(x)/(x-2)
Now; we calculate: (fg)`(x)
Remember: (u/v)=(u`v-vu´)/v²
Therefore:
(fg)´(x)=[g´(x)*(x-2) - 1*g(x)]/ (x-2)²
We know that:
g´(1)=-1
(fg)´(1)=6
Therefore:
6=[-1*(1-2)-g(1)]/(1-2)²
6=[1-g(1)]/1
6=1-g(1)
-g(1)=6-1
g(1)=-5
Answer: B. -5
Answer:
A
Step-by-step explanation:
Pythagorean Theorem states that a^2 + b^2 = c^2. AC is a, BC is b, AB is c
2(3x+3)=3(2x+2)
multiply the first bracket by 2
(2)(3x)=6x
(2)(3)=6
multiply the second bracket by 3
(3)(2x)=6x
(3)(2)=6
6x+6=6x+6
move 6x to the left side
sign changes from +6x to -6x
6x-6x+6=6x-6x+6
0+6=0+6
6=6
Answer:
all real numbers
<u>Answer</u>
2. 40
<u>Explanation</u>
The angle subtended by the diameter to the circumference is equal to 90°.
∴ angle ABC = 90°
Angles in a triangle = 180°
50 + 90 + x = 180
90 + x = 180
x = 180 - 90
= 90°
Answer:
90
Step-by-step explanation:
60/100=x/150
180/300=2x/300
2x=180
x=90