If f(x)=2x+3÷2,find f-1(x).
2 answers:
The required inverse function = (2x - 3 ) / 4.
Given that,
f(x) = (2x+3) / 2
To find
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Let f(x) = y
y = (2x + 3) / 2
y * 2 = 2x + 3
2y - 3 = 2x
x = (2y - 3) / 2
Now replace y = x and x =
= (2x - 3 ) / 4
Thus, the required inverse function = (2x - 3 ) / 4.
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Answer:
- After 4 seconds the height is 480 meters.
- The maximum height is 484 meters.
- The ball hits the ground after 10 seconds
Step-by-step explanation:
The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480
The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484
To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.
Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.