Question

If f(x)=X²-3, what is the value of f(-3)?

Answer 1

To solve this problem, you will substitute an existing value into a function in order to find the y-coordinate at that x-coordinate.

Substitute

Given the function f(x) = x² - 3, evaluate the function at f(-3) by substituting in x = -3:

`f(-3) = -3^2-3`

Use Order of Operations

Use BPEMDAS, which stands for:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, evaluate -3².

`-3*-3=9`

Then, evaluate the rest of the expression by subtracting 3 from 9:

`9 - 3 = \boxed{6}`

The final answer is f(-3) = 6.

Answer 2

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Hello! In this question, we are trying to solve the expression with a given value.

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Step-by-step explanation:

In this question, we were given our f(x) equation: f(x) = x² - 3

We were also given the value of our variable "x": -3

To solve the expression, we would plug in our "x" value, -3, into the "x" variables in our expression and solve.

Solve:

f(x) = x² - 3

f(-3) = (-3)² - 3

= 9 - 3

= 6

Therefore, the value of f(-3) is 6.

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Answer:

f(-3) = 6

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