Solve {l}{f{(x)}=x^2}{x=12}{g=f{(x)}}{text{Solvefor}htext{where}}{h=g}

$$\left. \begin{array} { l } { f {(x)} = x ^ {2} }\\ { x = 12 }\\ { g = f {(x)} }\\ { \text{Solve for } h \text{ where} } \\ { h = g } \end{array} \right.$$

Solve for f, x, g, h

$$h=144$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$f\times 12=12^{2}$$

Calculate 12 to the power of 2 and get 144.

$$f\times 12=144$$

Divide both sides by 12.

$$f=\frac{144}{12}$$

Divide 144 by 12 to get 12.

$$f=12$$

Consider the third equation. Insert the known values of variables into the equation.

$$g=12\times 12$$

Multiply 12 and 12 to get 144.

$$g=144$$

Consider the fourth equation. Insert the known values of variables into the equation.

$$h=144$$

The system is now solved.

$$f=12 x=12 g=144 h=144$$