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maxonik [38]
3 years ago
12

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Mathematics
1 answer:
viktelen [127]3 years ago
8 0

Answer:

The inverse is 5x+3

Step-by-step explanation:

y = (x-3) /5

Exchange x and y

x = (y-3)/5

Solve for y

Multiply each side by 5

5x =(y-3)/5 *5

5x = y-3

Add 3 to each side

5x+3 =y-3+3

5x+3 =y

The inverse is 5x+3

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\text{The vertex of}\ ax^2+bx+c:\\\\(h,\ k),\ \text{where}\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(-b^2-4ac)}{4a}

\text{We have:}\\f(x)=x^2+5x-3\\\\a=1,\ b=5,\ c=-3\\\\h=\dfrac{-5}{2\cdot1}=\dfrac{-5}{2}=-2.5\\\\k=f(-2.5)=(-2.5)^2+5(-2.5)-3=6.25-12.5-3=-9.25

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