SOLUTION: Given the function f(x)=3x^3+2, find the value of x so that f^-1(x)=4. Thank you.
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Question 919810: Given the function f(x)=3x^3+2, find the value of x so that f^-1(x)=4. Thank you.
Found 2 solutions by MathLover1, richard1234:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
,
first find
.....since we have
...swap and
.........solve for
=>
now find the value of so that :
...both sides raise to power of
...solve for
...if denominators same, then nominators are same too
check if
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
f(4) = 3*4^3 + 2 = 194
Taking f^(-1) of both sides, 4 = f^(-1)(194), so x in this case is 194. Note that f is bijective (more precisely one-to-one), so it has an inverse function.
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