Question

Evaluate the function f(x) = x2 + 9x - 6 at the given values of the independent variable and simplify. a. f(9) b. f(x+4) c. f(-x) a. f(9) = (Simplify your answer.) b. f(x+4)=(Simplify your answer.) c. f(-x)=(Simplify your answer.)

Answer 1

To evaluate the function f(x) = x^2 + 9x - 6 at a given value, substitute the value into the function and simplify.

Step-by-step explanation:

To evaluate the function f(x) = x2 + 9x - 6 at a given value, you simply substitute the value into the function and simplify.

a. For f(9), we substitute x = 9 into the function: f(9) = (9)2 + 9(9) - 6 = 81 + 81 - 6 = 156.

b. For f(x+4), we substitute x+4 into the function: f(x+4) = (x+4)2 + 9(x+4) - 6.

c. For f(-x), we substitute -x into the function: f(-x) = (-x)2 + 9(-x) - 6.

Answer 2

To evaluate the function f(x) = x^2 + 9x - 6 at given values, just substitute the values into the function and simplify. For example, f(9) = 81 + 81 - 6 = 156.

Step-by-step explanation:

To evaluate the function f(x) = x2 + 9x - 6 at the given values:

a. f(9) = (9)2 + 9(9) - 6 = 81 + 81 - 6 = 156

b. f(x+4) = (x+4)2 + 9(x+4) - 6

= x2 + 8x + 16 + 9x + 36 - 6

= x2 + 17x + 46

c. f(-x) = (-x)2 + 9(-x) - 6 = x2 - 9x - 6