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The function f(x) is one-to-one. For X-7 a. Find an equation for f(x), the inverse function b. Verify that your equation is correct by showing a. Select the correct choice below and, if nec Jse integers or fractio

Sagot :

Solution

We have the following function given:

[tex]f(x)=\frac{x+21}{x-7}[/tex]

For this case we need to interchange x by y and we have:

[tex]x=\frac{y+21}{y-7}[/tex]

And we need to solve for x and we have:

[tex]x(y-7)=y+21[/tex][tex]xy-7x=y+21[/tex][tex]xy-y=7x+21[/tex]

Solving for y we got:

[tex]y(x-1)=7x+21[/tex][tex]y=\frac{7x+21}{x-1}[/tex]

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