If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)

Mathematics

2 answers:

Akimi4 [234]3 years ago

5 0

Answer:

B. $2x^2+\frac{3x}{2}-5$

Step-by-step explanation:

Given functions,

$f(x)=\frac{x}{2}-2$

$g(x)=2x^2+x-3$

Since, (f+g)(x) = f(x) + g(x)

$=\frac{x}{2}-2+2x^2+x-3$

$=2x^2+\frac{x+2x}{2}-5$ ( combine like terms )

$=2x^2+\frac{3x}{2}-5$

Option 'B' is correct.

Lelu [443]3 years ago

4 0

Hello :
<span>If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)
</span>(f+g)(x)= f(x) +g(x) = x/2-2 +2x²+x-3 = x/2 +2x²+x-5
(f+g)(x)= (x+4x²-2x-10) /2
(f+g)(x)= (4x²+3x-10)/2 = 2x²+3/2 x -5

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