Question

Find the inverse of the one-to-one function algebraically. . $f(x)=\frac{2-\sqrt{x}}{2+\sqrt{x}}$

    Find the inverse of the one-to-one function algebraically.

. $f(x)=\frac{2-\sqrt{x}}{2+\sqrt{x}}$
Calculus for dummies: 1,001 calculus practice problems
Calculus for dummies: 1,001 calculus practice problems
Patrick Jones 1st Edition
Chapter 1, Problem 28 ↓
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Find the inverse of the one-to-one function algebraically. . $f(x)=\frac{2-\sqrt{x}}{2+\sqrt{x}}$
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Use algebra to find the inverse of the given one-to-one function. $$f(x)=1 / \sqrt{x}$$

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Transcript

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00:01 We have the function f of x equals 1 over the square root of x, and we want to find the inverse.
00:06 Just think of f of x as y, interchange x and y, and solve for y...
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