Answer:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x2−1 f - 1 ( x ) = x 2 - 1 is the inverse of f(x)=2x+2 f ( x ) = 2 x + 2 .
Answer:
No, the graph does not represent a proportional relationship
Step-by-step explanation:
The equation that models a proportional relation is 
, where k is the constant of proportionality.
Based on your description, we have:
x y
0 4
2 8
3 12
4 16
The graph of a proportional relation will always pass through the origin i.e the initial value is always zero.
The equation of this graph is not in the form y=kx.
Hence, the graph does not represent a proportional relationship because there is an initial value which is not zero.
If you need an equation the answer is 240= 2x + 3y
Answer:
(√366 - 3)/24
Step-by-step explanation:
Given the following:
cos∝ = √3/8 and sinβ = √3/3
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Get sin∝
Since cos∝ = √3/8
adj = √3
hyp = 8
opp = √8² - (√3)²
opp = √64 - 3
opp = √61
Recall that sin∝ = opp/hyp
sin∝ = √61/8
Get cosβ
Since sinβ = √3/3
opp = √3
hyp = 3
adj =√3² - (√3)²
adj = √9-3
adj = √6
Recall that cosβ = adj/hyp
cosβ = √6/3
Substitute the gotten values into the formula
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)
Sin(∝-β) = √366/24 - √9/24
Sin(∝-β) = (√366 - 3)/24
