Answer:
See below
Step-by-step explanation:
Given function is ,
=> f(x) = 4x + 7.
Replace f(x) with y ,
=> y = 4x + 7
For finding the inverse , interchange x and y ,
=> x = 4y + 7
Now solve for y ,
=> 4y = x - 7
=> y = x-7/4
Replace y with f-¹(x) ,
=> f-¹(x) = (x-7)/4
These are the required steps .
X=-2.3
I hope this is helpful! Let me know if you need anymore help!
Answer:
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This is similar to the other question you posted. Follow the same steps as before.
First find g(41).
g(41) = sqrt{x - 5}
g(41) = sqrt{41 - 5}
g(41) = sqrt{36}
g(41) = 6
We now find f(6).
f(6) = -7(6) + 1
f(6) = -42 + 1
f(6) = -41
Answer:
(fºg)(41) = -41
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Answer:
i. The horizontal component of the ball = 15.8
ii. The vertical component of the ball = 11.2
Step-by-step explanation:
A thrown ball is an example of a projectile, whose motion can be explained with respect to both horizontal and vertical components.
Horizontal component of the ball = U Cos θ
Vertical component of the ball = U Sin θ
where U is the initial velocity of the ball, and θ is the angle of projection.
Thus for the given question,
U = 70 km/hr (19.44 m/s)
θ = 35°
So that;
i. The horizontal component of the ball = 19.44 Cos 35°
= 19.44 x 0.8192
= 15.785
The horizontal component of the ball = 15.8.
ii. The vertical component of the ball = 19.44 Sin 35°
= 19.44 x 0.5736
= 11.151
The vertical component of the ball = 11.2
