The value of the inverse function at x = 32 will be 16. Then the correct option is D.
<h3>What is a function?</h3>
A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x) = 2x
Then the inverse function of the f(x) will be
2f⁻¹(x) = x
f⁻¹(x) = x / 2
Then the value of the inverse function at x = 32 will be
f⁻¹(32) = 32 / 2
f⁻¹(x) = 16
Then the correct option is D.
More about the function link is given below.
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3x + 4y + 8 = 0
4y = -3x - 8
y = -3/4x - 2....slope here is -3/4. A parallel line will have the same slope.
y = mx + b
slope(m) = -3/4
y int (b) = 4
so ur equation is : y = -3/4x + 4
Answer
given,
work = 5 J
spring stretch form 30 cm to 39 cm

x = 0.39 - 0.30 = 0.09 m


k = 1234.568 N/m
a) work when spring is stretched from 32 cm to 34 cm
x₂= 0.34 -0.30 = 0.04 m
x₁ = 0.32 - 0.30 = 0.02


W = 0.741 J
b) F = k x
25 = 1234.568 × x
x = 0.0205 m
x = 2.05 cm
The volume of a cone is 1/3 pi r^2 h. So by substitution, V = 1/3 of 80pi which simplifies to V=26.667pi, which when multiplied out, provides the answer V = 83.8 cubic meters.