3 years ago

|x+3| if x>5

Mathematics

1 answer:

svlad2 [7]3 years ago

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Write an equation for a line perpendicular to y = -5x – 4 and passing through the point (15,5)

stiv31 [10]

Answer:

y=1/5x+2

Step-by-step explanation:

In perpendicular lines the slopes are negative reciprocals so the slope of other line is 1/5x

And they intersect at (15,5) to find the y intercept(b)

y=1/5x+b

5=(1/5)(15)+b

5=3+b

b=2

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2 years ago

Find (f/g) (x) and state the domain restriction. f (x) = 6x - 3 and g(x) = 12x^2 - 6x

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Answer:

(f/g)(x) = 1/(2x)

x ≠ 1/2

Step-by-step explanation:

$(f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}$

The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.

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