Solve {l}{text{If}f(x)=2x+1text{,writethefollowingintheirsimplestform:}}{{lll}{text{a}f(x+1)}&{text{b}f(2x-3)}&{text{c}f(x^2)}{text{d}f(x/2)}&{text{e}f(x/4+1)}&{text{f}f(x)-x}}

$$\left. \begin{array} { l } { \text { If } f ( x ) = 2 x + 1 \text { , write the following in their simplest form: } } \\ { \left. \begin{array} { l l l } { \text { a } f ( x + 1 ) } & { \text { b } f ( 2 x - 3 ) } & { \text { c } f ( x ^ { 2 } ) } \\ { \text { d } f ( \frac { x } { 2 } ) } & { \text { e } f ( \frac { x } { 4 } + 1 ) } & { \text { f } f ( x ) - x } \end{array} \right. } \end{array} \right.$$

Solve for x

$$x=\frac{1}{f-2}$$

$$f\neq 2$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$fx-2x=1$$

Combine all terms containing x.

$$\left(f-2\right)x=1$$

Divide both sides by f-2.

$$\frac{\left(f-2\right)x}{f-2}=\frac{1}{f-2}$$

Dividing by f-2 undoes the multiplication by f-2.

$$x=\frac{1}{f-2}$$