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ikadub [295]
4 years ago
11

What is the inverse of "f"if f(x)=^3 sqrtx-5

Mathematics
2 answers:
sashaice [31]4 years ago
8 0
<span>y=<span><span>x−5</span><span>−−−−</span>√3

</span></span> <span><span>x=<span><span>y−5</span><span>−−−−</span>√3
 </span></span></span>
Cloud [144]4 years ago
5 0
Assuming that the original equation is
f(x)= \sqrt[3]{x-5}

the inverse of f(x) is f(y)

f(x)= \sqrt[3]{x-5}
   y=\sqrt[3]{x-5}

f₋₁(y)= \sqrt[3]{y-5}
   x=\sqrt[3]{y-5}
   x³= y-5
   y=x³+5

Thus f₋₁=y=x³+5
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