SOLUTION: What is the inverse of this function ?
f(x)= -√(x+5)+3
Thanks for any help.
Algebra.Com
Question 850038: What is the inverse of this function ?
f(x)= -√(x+5)+3
Thanks for any help.
Found 2 solutions by jim_thompson5910, josgarithmetic:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Replace f(x) with y. Then swap x and y. Afterwards, solve for y to find
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
Quick way,
, roles of x and y were switched. y represents the original f(x), a representation only.
That is not yet finished. You need to know the vertex, because f(x) was the lower half of a parabola, so the inverse must correspond to that lower half.
Put into standard form.
-----Completing the Square
-------vertex is (3,-5)
We must include the restriction, .
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