Answer:
h(x) = x - 3
Step-by-step explanation:
To find the inverse of a function, you can switch the x and y variables.
In f(x) = x + 3, the y variables is "f(x)".
y = x + 3
Now switch the x and y.
x = y + 3
Isolate for y and replace with h(x).
x - 3 = y
y = x - 3
h(x) = x - 3
Answer:
5
Step-by-step explanation:
The result would be 3x^2+7x+2.
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We can see that revolving the region formed by intersecting 3 lines, we will get 2 cones that are connected their bases.
Volume of the cone V=1/3 *πr²*h
1) small cone has r=5, and h=5
Volume small cone V1= 1/3 *π*5²*5 = 5³/3 *π
2) large cone has r=5, and h=21-6=15, h=15
Volume large cone V2= 1/3 *π*5²*15 = 5³*π
3) whole volume
5³/3 *π + 5³*π=5³π(1/3+1)=((5³*4)/3)π=(500/3)π≈166.7π≈523.6
Area
we see 2 right triangles,
Area of the triangle=1/2*b*h, where b -base, h -height
1) small one, b=5, h=5
A1=(1/2)*5*5=25/2
2)large one, b=5, h=15
A2=(1/2)*5*15=75/2
3)
whole area=A1+A2=25/2+75/2=100/2=
50