For this case we have the following equations:
We must find 
By definition of composition of functions we have to:
So:
We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.
So, the roots are:
The domain is given by all real numbers except 0 and 3.
Answer:
x other than 0 and 3
Answer:
X = 0.75
Step-by-step explanation:
0.25[2.5x + 1.5(X-4)]= -X
0.25[2.5x + 1.5x - 6] = -x
0.25[4x -6] = -x
1x + x = 1.5
2x = 1.5
x = 1.5/2
x = 0.75
Answer:
the probability that two 18 year old boys chosen at random will have heights greater than 185cm is 0.403
Step-by-step explanation:
P( x > 193) = 0.15
= 1- p(x less than or equal 193)
= 1 -p( z < (x- u) /sigma)
= 1- p( z< (193 - 187)/ sigma)
= 1- p( z< 6/ sigma)
P(z< 6/sigma) = 1 - 0.15
P(z < 6/sigma)= 0.85
6/sigma =1.036
Sigma= 6/1.036
Sigma= 5.79
P( x> 185) = 1- p( x< 185)
= 1- p (z < (185- 187)/5.79)
= 1- p( z< -0.345)
= 1- 0.365
= 0.635
P (x> 185) = 0.635 × 0.635
=0.403
The factored form for this question is (5x-1)(x-5)
Answer:
y=15/7x-4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(11-(-4))/(7-0)
m=(11+4)/7
m=15/7
y-y1=m(x-x1)
y-(-4)=15/7(x-0)
y+4=15/7(x)
y+4=15/7x
y=15/7x-4
