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lesantik [10]
3 years ago
15

Given f(x) = x2-2 and g(x) = sqrt x find f(g(2))

Mathematics
2 answers:
Ugo [173]3 years ago
8 0

Answer:

\boxed{\boxed{f\bigg(g(2)\bigg)=0}}

Step-by-step explanation:

f(x)=x^2-2,\ g(x)=\sqrt{x}\\\\Domain:\\D_f:x\in\mathbb{R}\\\\D_g:x\geq0\\\\f(g(x))=\left(\sqrt{x}\right)^2-2=x-2

Used:\\\\(\sqrt{a})^2=a

f(g(2)):\\\text{Put x = 2 to the equation of the function:}\\\\f(g(2))=2-2=0

IrinaK [193]3 years ago
8 0

Answer:

The value of f(g(2)) is 0

Step-by-step explanation:

Given:

f(x) = x^2-2 and g(x) = \sqrt{x}

we have to find the f(g(2)).

first find g(2)

Put x =2 in g(x) we have;

g(2) = \sqrt{2}

Now;

f(g(2))=f(\sqrt{2})=(\sqrt{2})^2-2 = 2-2 = 0

Therefore, the value of f(g(2)) is 0


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