How do you solve this difficult algebra problem?

F(x)= 2x^2-5x+3 and G(x)=1-4x-x^2

Calculate f(-2) + g(2)

2 Answers
Jim G.
Aug 12, 2018

10

Explanation:

"substitute "x=-2" into" f(x) " and "x=2" into "g(x)

f(-2)=2(-2)^2-5(-2)+3

color(white)(f-(2))=(2xx4)+(-5xx-2)+3

color(white)(f(-2))=8+10+3=21

g(2)=1-(4xx2)-(2)^2

color(white)(g(2))=1-8-4=-11

f(-2)+g(2)=21+(-11)=21-11=10

Jacobi J. ยท Mark D.
Aug 13, 2018

10

Explanation:

The key realization is that f(-2) means that we will evaluate the function f at x=-2, and g(2) means we evaluate g at x=2.

Plugging in -2 for f, we get

f(-2)=2(-2)^2-5(-2)+3=21

Plugging in 2 for g, we get

g(2)=1-4(2)-(2)^2=1-8-4=-11

We have been asked to find

f(-2)+g(2), and since we have both values, we can sum them to get

21-11=10

Hope this helps!

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