Solve f(x)=x² When f(4)=6+a: Function Evaluation Problem

Calculate the value of $a$.

$f(x)=x^2$$$

$f(4)=6+a$

To solve this problem, we'll follow these steps:

• Step 1: Calculate $f(4)$ using the given function.
• Step 2: Set $f(4)$ equal to $6 + a$ and solve for $a$.

Now, let's work through each step:

Step 1: The function given is $f(x) = x^2$. We want to find $f(4)$, which is:

$f(4) = 4^2 = 16$

Step 2: According to the problem, $f(4) = 6 + a$. Therefore, we set:

$16 = 6 + a$

Subtract 6 from both sides to solve for $a$:

$16 - 6 = a$

$a = 10$

Therefore, the value of $a$ is $a = 10$.