Precalculus Examples

$y = {(e^{4 x} - 3)}^{2}$ , $x = 0$

Step 1

Replace all occurrences of $x$ in $y = {(e^{4 x} - 3)}^{2}$ with $0$ .

$y = {(e^{4 (0)} - 3)}^{2}$

$x = 0$

Step 2

Simplify the right side.

Tap for more steps...

Step 2.1

Simplify ${(e^{4 (0)} - 3)}^{2}$ .

Tap for more steps...

Step 2.1.1

Simplify each term.

Tap for more steps...

Step 2.1.1.1

Multiply $4$ by $0$ .

$y = {(e^{0} - 3)}^{2}$

$x = 0$

Step 2.1.1.2

Anything raised to $0$ is $1$ .

$y = {(1 - 3)}^{2}$

$x = 0$

$y = {(1 - 3)}^{2}$

$x = 0$

Step 2.1.2

Simplify the expression.

Tap for more steps...

Step 2.1.2.1

Subtract $3$ from $1$ .

$y = {(- 2)}^{2}$

$x = 0$

Step 2.1.2.2

Raise $- 2$ to the power of $2$ .

$y = 4$

$x = 0$

$y = 4$

$x = 0$

$y = 4$

$x = 0$

$y = 4$

$x = 0$