please answer all parts Fot the Gwen snctioretard g find th

please answer all parts

Fot the Gwen snctioretard g, find th falowns and stale ne doman or each resit. simpty your arewet Use inleges at fart for amy sumbats What the demais df+ s? Is any real namber1 Smpity your answer use at real numbet select your answer sl

Solution

1)

Notice both functions have the same denominator...

f + g

So, we add numerators...
5x + 3 + 3x
8x + 3

So, the f + g is :
(8x + 3) / (8x - 7)

Domain :
8x - 7 not equal to 0
8x not equal to 7
x not equal to 7/8

So, domain is option Top right

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f/g

When we divide them,
the denominators 8x - 7 cancel out...

So, f/g = (5x + 3)/(3x)

Domain :
Clearly 3x should not be 0
So, x should not be 0

But alongwith that
8x - 7 should not be 0
So, x is not 7/8

So, x cannot be 0 or 7/8

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Now, answers :

f+g = (8x + 3) / (8x - 7)

Domain : x not equal to 7/8, top right

f/g = (5x + 3) / (3x)

Domain : x cannot be 0 or 7/8, top right