Question

Evaluate the function f(x)=x^2-5x+ 5 at the given values of the independent variable and simplify

a. f(9)
b. f(x+7)
c. f(-x)
a. f(9) =
(Simplify your answer.)
b. f(x + 7) =
(Simplify your answer.)
c. f(-x) =
(Simplify your answer.)

Answer 1

Explanation:

The given function is :

`f(x)=x^2-5x+ 5`

(a) To find f(9), put x = 9 in the above expression.

`f(9)=9^2-5(9)+ 5=41`

(b) To find f(x+7), put x = x+7 in the above expression.

`f(x+7)=(x+7)^2-5(x+7)+ 5\\\\=x^2+14x+49-5x-35+5\\\\=x^2+9x+19`

(c) To find f(-x), put x = -x in the above expression.

`f(-x)=(-x)^2-5(-x)+ 5\\\\=x^2+5x+5`

Hence, this is the required solution.