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# Find the linearization L(x) of the function at a. f(x) = x, a = 9

**Solution:**

Given, the function f(x) = x

We have to find the linearization L(x) of the function at a = 9.

Using the formula,

L(x) = f(a) + f’(a)(x - a)

Now,

f(x) = x

f(a) = f(9) = 9

f’(x) = 1

f’(a) = f’(9) = 1

Substituting the values of f(a) and f’(a), the function becomes

L(x) = 9 + 1(x - 9)

Therefore, the linearization of f(x) = x at a = 9 is L(x) = 9 + 1(x - 9).

## Find the linearization L(x) of the function at a. f(x) = x, a = 9

**Summary:**

The linearization of the function f(x) = x at a = 9 is L(x) = 9 + 1(x - 9).

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