Question

Evaluate the function f(x)=x²+9x+2 at the given velues of the independent variable and simplify a. f(1) b. f(x+4) e. f(−x) E1) = (Simplity your answer.)

Answer 1

To evaluate a function, substitute the given values of the independent variable into the function and simplify the expression.

Step-by-step explanation:

To evaluate a function, substitute the given values of the independent variable into the function and simplify the expression.

1. a. To find f(1), substitute x = 1 into the function: f(1) = (1)^2 + 9(1) + 2 = 12
2. b. To find f(x+4), substitute x+4 into the function: f(x+4) = (x+4)^2 + 9(x+4) + 2 = x^2 + 9x + 16 + 36 + 2 = x^2 + 9x + 54
3. c. To find f(-x), substitute -x into the function: f(-x) = (-x)^2 + 9(-x) + 2 = x^2 - 9x + 2

Therefore, the simplified expressions for the given function are:

1. a. f(1) = 12
2. b. f(x+4) = x^2 + 9x + 54
3. c. f(-x) = x^2 - 9x + 2

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