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find (f+g)(x) and (f-g)(x)

f(x)=4x^2+7x-5 and g(x)=-9x^2+5x

Since f(x) = 4x² + 7x - 5 and g(x) = -9x² + 5x,

we can find the sum and difference of the two.

It can be seen that (f+g)(x) = 4x² + 7x - 5 - 9x² + 5x.

Grouping terms together gives (4-9)x² + (7+5)x - 5 = -5x² + 12x - 5.

It can be seen that (f-g)(x) = 4x² + 7x - 5 + 9x² - 5x.

Grouping terms together gives (4+9)x² + (7-5)x - 5 = 13x² + 2x - 5.

Algebra

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