Question

Select the correct answer.

if (x) = 2х^2 + 3x and g(x) = x-2, what is (f+ g)(2)?
А. 16
B. 14
C. 12
D. 10
E. 8

Answer 1

f(x) = 2x² + 3x

g(x) = x - 2

We are given these two equations. (f+g)(x) will just be the sum of both f(x) and g(x).

f(x) + g(x) = (f+g)(x)

= 2x² + 3x + x - 2

= 2x² + 4x - 2

Now, just substitute x = 2 into this equation to get (f+g)(2)

2(2)² + 4(2) - 2

= 8 + 8 - 2

= 14

That should be your answer. Let me know if you need any clarifications, thanks!