If f(x) = x + 4 and g(x) = 4x², find (f + g)(x) and (f + g)(2).

sodni3

sodni3

Answered question

2021-07-04

If f(x)=x+4 and g(x)=4x², find (f+g)(x) and (f+g)(2).

Answer & Explanation

Cristiano Sears

Cristiano Sears

Skilled2021-07-05Added 96 answers

Recall that (f+g)(x)=f(x)+g(x) so:
(f+g)(x)=(x+4)+(4x2)
(f+g)(x)=4x2+x+4
Replacing x with 2 and evaluating, we can find (f+g)(2); (f+g)(2)=4(2)2+4
(f+g)(2)=16+2+4
(f+g)(2)=22

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