use the function to evaluate the indicated expressions and simplify

Question

f(x)= 3x^2 + 4

f(x+2) =

f(x) + f(2) =

Answer 1

You want to evaluate each part separately and plug in the right value for x.

f(x+2) = 3(x+2)²+4 (x+2)² = x²+4x+4

= 3(x²+4x+4)+4

= 3x²+12x+12+4

= 3x²+12x+16

f(x) + f(2) =

[ 3x²+4 ] + [ 3(2)²+4 ] =

[ 3x²+4 ] + [ 16 ] =

3x²+4 + 16 = 3x²+20

Hope this helps.