Answer:
I think 4:1 I'm not that sure tho
f(x) =5-3x
g(x)=x²-1
f(g(x)) = f(x²-1)
replacing x by x²-1 in the function f(x) , we get
f(x²-1) = 5-3(x²-1) = 5-3x²+3 =8-3x²
f(g(x)) =8-3x²
now finding g(f(x))
g(5-3x)
replacing x by 5-3x in the function g(x)
g(5-3x) = (5-3x)²-1
g(5-3x) = 5²-30x +9x²-1 = 9x²-30x +24
g(f(x))= 9x²-30x +24
f(g(x)) =8-3x²
in option third the f(g(x)) is -3x³+8 which is incorrect
Answer: Option D
Step-by-step explanation:
If the graph of the function 
represents the transformations made to the graph of 
then, by definition:
If 
the graph moves vertically upwards.
If 
the graph moves vertically down
If 
The graph moves horizontally h units to the left
If 
The graph moves horizontally h units to the right
In this problem we have the function 
and our parent function is 
therefore it is true that 
and 
Therefore the graph of is <u><em>moves horizontally 3 units to the left</em></u>. Also, as then the graph <u><em>moves vertically 7 units down
</em></u>
Therefore the answer is the option D
Answer: They are both the same height of 1 1/2.
Step-by-step explanation:
1/2 x 3 = 1/2 x 3/1 = 3/2 = 1 1/2
3/4 x 2 = 3/4 x 2/1 = 6/4 = 1 2/4 = 1 1/2
