8.4 Inverse Operations

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Is the inverse a function?: 1\2x^4-3
No, graph is a parabola.
Is the inverse a function? : ^3√2x-3 (+1)
Yes, graph is an 's' shape.
Find the inverse: 3x^5-10=h(x)
^5√x+10\3=y
Are they inverses? : f(x)= 3x-8 , g(x)= 1\3x+ 8\3
Yes, when solved not equal 'x'
Is the inverse of any parabola a function?
No