Evaluate The Function

Question

A. f(-1)

B. f(x+4)

C. f(-x)

f(x)=x2+4x+1

Answer 1

Plugging in -1 for x

a. (-1)²+4(-1)+1

Simplify:

1-4+1 = -2

Plugging in (x+4) for x

b. (x+4)²+4(x+4)+1

Using FOIL for the first term and the distributive property for the second

x²+8x+16+4x+16+1

Combining like terms

x²+12x+33

Plugging in -x for x

c. (-x)²+4(-x)+1

Simplify

x²-4x+1