Question

When f(x) = x2+9 and g(x) = x-9, find f(x)-g(x).

Answer 1

`\huge{ \boxed{ \sf{ {x}^(2) - x + 18}}}`

Explanation:

`\underline{ \text{Given}}:`

`\sf{f(x) = {x}^(2) +9 \: and \: g(x) = x-9}`

`\underline{ \text{To \: find}} : \sf{ \: f(x) \: - \: g(x)}`

Put the values:

`\mapsto{ \sf{ {x}^(2) + 9 - ( x - 9)}}`

While subtracting , sign of each term of the second expression changes.

`\mapsto{ \sf{ {x}^(2) + 9 - x + 9}}`

Add the numbers : 9 and 9

`\mapsto{ \boxed{ \sf{{x}^(2) - x + 18}}}`

Hope I helped!

Best regards! :D

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`\text{TheAnimeGirl}`