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lianna [129]
3 years ago
12

If f (x) = x + 7 and g (x) = StartFraction 1 Over x minus 13 EndFraction, what is the domain of (f circle g) (x)?

Mathematics
2 answers:
Rashid [163]3 years ago
6 0

Answer:

R-{13}

Step-by-step explanation:

We are given that

f(x)=x+7

g(x)=\frac{1}{x-13}

We have to find the domain of fog(x).

fog(x)=f(g(x))

fog(x)=f(\frac{1}{x-13})

fog(x)=\frac{1}{x-13}+7=\frac{1+7x-91}{x-13}=\frac{7x-90}{x-13}

Domain of f(x)=R

Because it is linear function.

Domain of g(x)=R-{13}

Because the g(x) is not defined at x=13

fog(x) is not defined at x=13

Therefore, domain of fog(x)=R-{13}

LenaWriter [7]3 years ago
3 0

Answer:

The domain is all real values of  except x = 13.

Step-by-step explanation:

(f o g)(x) =  (1/ (x - 13))  + 7.

The domain is all real numbers except x = 13.

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