The question is:
19. if g(x) = 3 + x + e^x, find the inverse function of g (4).
Solution:
1) Put the equation as y = 3 + x + e^x
2) Solve for x = > x + e^x = y - 3
3) switch x and y => y + e^y = x - 3
4) y is the inverse
5) find y for the value requested (x = 4)
=> y + e^y = 4 - 3
=> y + e^y = 1
the solution is y = 0 because 0 + e^0 = 0 + 1 = 1.
Answer: 0.
The answer is d you would divide both sides by pi to get d
Answer:
k=-9±2√15
Step-by-step explanation:
For the above quadratic to have equal roots then it's discriminant b²-4ac must equal 0
By comparing x²+(k+9)x+15=0 with ax²+bx+c=0,a=1,b=k+9 and c=15
(k+9)²-4(1×15)=0
k²+18k+81-60=0
k²+18k+21=0(factorize)
k=-9±2√15
Answer:
The present age of the woman is 37 years and her daughter is 7 years
Step-by-step explanation:
two years ago a woman was 7 times old as her daughter, but in 3 years time she would be 4 times old as the girl. how old are they now
Two years ago a woman wad 7 times as old as her daughter
Let her daughter=x-2
The woman=y-2
x-2
7(y-2)=7y-14
x-2=7y-14
x-7y=-14+2
x-7y= -12 (1)
but in 3 years time she would be 4 times as old as the girl.
x+3
y+3
x+3
4(y+3)=4y+12
x+3=4y+12
x-4y=12-3
x-4y=9. (2)
x-7y= -12 (1)
x-4y=9. (2)
Subtract (1) from (2)
4y-(-7y)=9-(-12)
-4y+7y=9+12
3y=21
y=21/3
y=7
Substitute
y=7 into (1)
x-7y= -12
x-7(7)=-12
x-49=-12
x= -12+49
=37
The present age of the woman is 37 years and her daughter is 7 years
