Given f(x) = the quantity of x minus 5, divided by 3, solve for f−1(3).
1 answer:
Remark
Let f(x) = y must to make it easier to write.
Equation
Original Equation: y = (x - 5)/3
Inverse
Interchange the x and y. You get x = (y - 5) / 3
Solve for y in the inverse.
x = (y - 5)/3 Multiply by 3
3x = y - 5 Add 5 to both sides.
3x + 5 = y
<u><em>substitute f1(x) back into the equation.</em></u>
3x + 5 = f(x) Now put in 3 for x
f(3) = 3x + 5
f(3) = 3*3 + 5
f(3) = 14 <<< Answer
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