Answer:
-9
Step-by-step explanation:
Plug in -3 for the x value to get 6 + 5 (-3). Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.
Answer:
see explanation
Step-by-step explanation:
(i)
to find h(g(x)) , substitute x = g(x) into h(x) , that is
h(g(x))
= h(2x - 3)
= 4(2x - 3)
= 8x - 12
(ii)
given
h(g(x)) = 
g(x) , then
8x - 12 = (2x - 3) ← multiply both sides by 2 to clear the fraction
16x - 24 = 2x - 3 ( subtract 2x from both sides )
14x - 24 = - 3 ( add 24 to both sides )
14x = 21 ( divide both sides by 14 )
x = 
= 
= 1.5
A and F are the only set of ordered pairs that work in both of the equations above.
In order to find these you must place them into each equation and check for truth. Below is the work for A and F.
Ordered Pair A : (0,6)
y > 6x + 5
6 > 0 + 5
6 > 5 (TRUE)
y < -6x + 7
6 < 0 + 7
6 < 7 (TRUE)
Ordered Pair F : (-2, 18)
y > 6x + 5
18 > - 12 + 5
18 > -7 (TRUE)
y < -6x + 7
18 < 12 + 7
18 < 19 (TRUE)
Answer:
A and A- minus that is my best time
