Question

Let f(x)=x^2+5 and g(x) = x-7. Perform each operation and then find out the domain.
1) f(x)/g(x)
2) f(x)-2g(x)
3) f(x)*g(x)

Answer 1

\[\frac{f(x)}{g(x)}=\frac{x^2+5}{x-7}\]

Answer 2

Domain = all real numbers except 7

Answer 3

\[f(x)-2g(x)=x^2+5-2(x-7)=x^2+5-2x-14=x^2-2x-9\]

Answer 4

Domain = all real numbers

Answer 5

\[f(x)\times g(x)=(x^2+5)(x-7)=x^3-7x^2+5x-35\]

Answer 6

Domain = all real numbers