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7nadin3 [17]
3 years ago
12

Write the inverse of f(x)=x2+4

Mathematics
1 answer:
Over [174]3 years ago
7 0
F(x) = x² + 4
y = x² + 4

First, I reverse the equation to be
x² + 4 = y

Second, we need only x to remain on the left side and we need to move the others to the right side
x² + 4 = y
x² = y - 4
x = √(y - 4)

Last, change into invers function
f⁻¹(x) = √(x - 4)
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Answer:

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The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

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OR

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As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions

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