SOLUTION: Verify that the function g(z)=(x-2)/5 is the inverse function of f(x)=5x+2. Show your work.

Question 175584: Verify that the function g(z)=(x-2)/5 is the inverse function of f(x)=5x+2. Show your work.
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Verify that the function g(x)=(x-2)/5 is the inverse function of f(x)=5x+2
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Show that f[g(x)] = x and that g[f(x)]=x
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f[g(x)] = f[(x-2)/5] = 5[(x-2)/5}+2 = x-2+2 = x
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g[f(x)] = g[5x+2] = (5x+2-2)/5 = 5x/5 = x
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Cheers,
Stan H.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To find the inverse, switch to x,y notation.

Now interchange x and y and solve for y.

This new y is the inverse function, g.

It matches the given inverse function.

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