Question

$$\left. \begin{array} { l } { f ( x ) = 4 x - 7 } \\ { f ^ { - 1 } ( 1 ) } \end{array} \right.$$

Answer

n=-(x*f*(f-4))/(7*Fi*d)

Solution


Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[fx=4x-7Find\times \frac{1}{f}\times 1\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[fx=4x-\frac{7Find\times 1\times 1}{f}\]
Simplify  \(7Find\times 1\times 1\)  to  \(7ndFi\).
\[fx=4x-\frac{7ndFi}{f}\]
Regroup terms.
\[fx=4x-\frac{7Find}{f}\]
Subtract \(4x\) from both sides.
\[fx-4x=-\frac{7Find}{f}\]
Factor out the common term \(x\).
\[x(f-4)=-\frac{7Find}{f}\]
Multiply both sides by \(f\).
\[x(f-4)f=-7Find\]
Regroup terms.
\[xf(f-4)=-7Find\]
Divide both sides by \(-7\).
\[-\frac{xf(f-4)}{7}=Find\]
Divide both sides by \(Fi\).
\[-\frac{\frac{xf(f-4)}{7}}{Fi}=nd\]
Simplify  \(\frac{\frac{xf(f-4)}{7}}{Fi}\)  to  \(\frac{xf(f-4)}{7Fi}\).
\[-\frac{xf(f-4)}{7Fi}=nd\]
Divide both sides by \(d\).
\[-\frac{\frac{xf(f-4)}{7Fi}}{d}=n\]
Simplify  \(\frac{\frac{xf(f-4)}{7Fi}}{d}\)  to  \(\frac{xf(f-4)}{7Fid}\).
\[-\frac{xf(f-4)}{7Fid}=n\]
Switch sides.
\[n=-\frac{xf(f-4)}{7Fid}\]