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Step 1

Refer to the question for the given function f(x) = 4x2+12x-40 and g(x) = x + 5. we need to calculate the (f+g)(x), (f-g)(x) , (fg)(x) and f/g (x)  and also their domain.

Then to find (f+g)(x), help_outlineImage Transcriptionclosef (x) 4x212.x -40 and g(x) = x + 5 Then, (f+8)(x)[(x)+g8(x)](x) = 4x212x-40+ x + 5 = 4x213x -35 fullscreen
Step 2

The domain of the function is that value of x for which the function is defined. And (f+g)(x) = 4x2+13x-35 is a polynomial function so it defined for all value of x.

That is,

Step 3

Similarly, for (... help_outlineImage Transcriptionclosef (x) 4x212.x -40 and g(x) = x + 5 Then, (-8)(x)[(x)-g (x)](x) = 4x212x 40- x - 5 = 4x211 -45 fullscreen

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### Algebra 