Find the inverse of the function y = 2x2 + 2

2 answers:

8 0

We have that
y = 2x² + 2

step 1

exchange the value of x for y and the value of y for x
y = 2x² + 2------> x=2y²+2

step 2
clear y variable
x=2y²+2----> 2y²=x-2----> y²=[(x-2)/2]-----> y=(+/-)√[(x-2)/2]

step 3
the inverse is
f(x)-1=(+/-)√[(x-2)/2]

VMariaS [17]3 years ago

8 0

Answer:

y=+- $\sqrt{\frac{1}{2} x-1}$

Step-by-step explanation:

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