Given the function fx4x23x12 evaluate the following a f9 b f

Given the function f(x)=4x^2+3(x+1)+2, evaluate the following:

a. f(-9)

b. f(x+2)

I am substituting x but I\'m not coming out the with correct answer.

Solution

given f(x)=4x²+3(x+1)+2

a. f(-9)=4*(-9)²+3(-9+1)+2

=4*81 +3*(-8) +2

=324-24+2

=302

b. f(x+2)=4(x+2)²+3((x+2)+1)+2

=4(x²+4x+4)+3(x+3)+2

=(4x²+16x+16)+(3x+9)+2

=4x²+16x+16+3x+9+2

=4x²+19x+27