MathAdmin: Created page with "'''Question''' Find the inverse of the following function $f(x) = \frac{3x}{2x-1}$ {| class="mw-collapsible mw-collapsed" style = "text-align:left;" ! Foundations..."

2015-06-01T01:15:33Z

Created page with "'''Question''' Find the inverse of the following function <math> f(x) = \frac{3x}{2x-1}</math> {| class="mw-collapsible mw-collapsed" style = "text-align:left;" ! Foundations..."

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'''Question''' Find the inverse of the following function <math> f(x) = \frac{3x}{2x-1}</math>

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Foundations:
|-
|1) How would you find the inverse for a simpler function like <math>f(x) = 3x + 5</math>?
|-
|Answer:
|-
|1) you would replace f(x) by y, switch x and y, and finally solve for y.
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 1:
|-
| Switch f(x) for y, to get <math>y = \frac{3x}{2x-1}</math>, then switch y and x to get <math>x = \frac{3y}{2y-1}</math>
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 2:
|-
| Now we have to solve for y:
::<math> \begin{array}{rcl}
x & = & \frac{3y}{2y-1}\\
x(2y - 1) & = & 3y\\
2xy - x & = & 3y\\
2xy - 3y & = & x\\
y(2x - 3) & = & x\\
y & = & \frac{x}{2x - 3}
\end{array}</math>
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Answer:
|-
|<math> y = \frac{x}{2x-3}</math>
|}

[[005 Sample Final A|'''<u>Return to Sample Exam </u>''']]

005 Sample Final A, Question 4 - Revision history

MathAdmin: Created page with "'''Question''' Find the inverse of the following function f(x) = \frac{3x}{2x-1} {| class="mw-collapsible mw-collapsed" style = "text-align:left;" ! Foundations..."

MathAdmin: Created page with "'''Question''' Find the inverse of the following function $f(x) = \frac{3x}{2x-1}$ {| class="mw-collapsible mw-collapsed" style = "text-align:left;" ! Foundations..."