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Tanzania [10]
3 years ago
12

Which equation is the inverse of y = 2x2 – 8?

Mathematics
2 answers:
professor190 [17]3 years ago
8 0

we have

y=2x^{2} -8

Step 1

Exchanges the variable x for y and the variable y for x

x=2y^{2} -8

Step 2

Clear the variable y

2y^{2}=x+8

y^{2}=\frac{x+8}{2} \\ \\y=(+/-)\sqrt{\frac{x+8}{2}}

so

the inverse is equal to-------> y=(+/-)\sqrt{\frac{x+8}{2}}

therefore

<u>the answer is</u>

y=(+/-)\sqrt{\frac{x+8}{2}}

JulsSmile [24]3 years ago
3 0
X=2y^2 -8
or
2y^2= x+8
y^2 = (x+8)/2

y =  \sqrt{ \frac{x+8}{2} }
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