Answer:
(y-12)/4
Step-by-step explanation:
If g(x) is the inverse of f(x)
and f(x) = 4x + 12
f⁻¹(x) = g(x)
let f(x) be represented as y
f(x)
= y
y = 4x + 12
subtract 12 from both sides
y-12= 4x
divide both sides by 4
(y-12)/4 = x
so f ⁻¹ (y)= (y-12)/4 so g(x) = (x-12)/4
Answer:
- h = 0 when the ball hits the ground
- about 3.464 seconds
Step-by-step explanation:
The formula gives h = 192 when t=0, so we assume that h represents the height above the ground. The ball will have a height of 0 when it hits the ground.
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Using that in the equation, we can solve for t.
0 = 192 -16t^2
0 = 12 -t^2 . . . . . . divide by 16
t^2 = 12 . . . . . . . . add t^2
t = √12 = 2√3 ≈ 3.464 . . . . take the square root
It will take 2√3 seconds, about 3.464 seconds, for the ball to hit the ground.
Two of the numbers were switched in a multiplication equation, so the answer would be commutative- multiplication.
Answer:
Step-by-step explanation:
1. here you go mate
step 1
6x - 12 < 6 equation
step 2
6x - 12 < 6 simplify
6x-12+12<6+12
step 3
6x<18 Divide both sides
answer
x<3
2. Here you go mate
step 1
2(3x-8) >8 equation
step 2
2(3x-8) >8 simplify
6x-16+16>8+16
step 3
6x>24 divide both sides
answer
x>4
