
Cristal M.
asked 04/22/21ive tried starting this but i got lost its precalculus
Find the inverse function of f(x)=11+3^√x
f^-1(x)=
3 Answers By Expert Tutors

Yefim S. answered 04/22/21
Math Tutor with Experience
y = 11 + 3√x; domain is x ≥ 0; and range is y ≥ 12
Now we interchange x and y: x = 11 + 3√y; 3√y = x - 11; √y = log3(x - 11); y = log32(x - 11), x ≥ 12
f-1(x) = log32(x - 11), x ≥ 12
f-1 = [ log3 (x -11) ]2

Doug C. answered 04/22/21
Math Tutor with Reputation to make difficult concepts understandable
desmos.com/calculator/7kcsam1f3b
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