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 intof(x) and x=2 into g(x)

f(−2)=2(−2)2−5(−2)+3

f−(2)=(2×4)+(−5×−2)+3

f(−2)=8+10+3=21

g(2)=1−(4×2)−(2)2

g(2)=1−8−4=−11

f(−2)+g(2)=21+(−11)=21−11=10

Jacobi J. · 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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