SOLUTION: find f^-1(x) f(x)= -8x + 48
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Question 279162
:
find f^-1(x) f(x)= -8x + 48
Found 2 solutions by
stanbon, Theo
:
Answer by
stanbon(75887)
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Find f^-1(x) if f(x)= -8x + 48
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y = -8x + 48
Interchange x and y to get:
x = -8y + 48
Solve for "y":
-8y = x-48
y = -(x-48)/8
That is f^-1(x)
==========================
Cheers,
Stan H.
Answer by
Theo(13342)
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I think you want the inverse function of f(x) = -8x + 48
solve for x.
add 8x to both sides of this equation and subtract f(x) from both sides of this equation to get:
8x = -f(x) + 48
divide both sides of this equation by 8 to get:
x = -f(x)/8 + 6
replace x with f^-1(x) and f(x) with x to get:
f^-1(x) = -x/8 + 6
that's your inverse equation.