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If f(x)=2x and g(x)=/x, what is the domain of (f o g)(x)? A) x=>0 B) x=0 C)x=<0 D) all real numbers

If f(x)=2x and g(x)=/x, what is the domain of (f o g)(x)? A) x=>0 B) x=0 C)x=&lt-example-1
User Mahish
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f(x)=2x,\ g(x)=√(x)\\\\(f\circ g)(x)=2√(x)\\\\The\ domain:\\\\\boxed{x \geq 0}

User Annakaye
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2 votes

Answer:

Domain is
x\geq 0

Explanation:


f(x)= 2x


g(x)=√(x)

Now find (fog)(x)


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

Plug in square root (x) for g(x)


(fog)(x)= f(g(x))=f(√(x))

Now we plug in sqrt(x) for x in f(x)


(fog)(x)= f(g(x))=f(√(x))=2√(x)

To find out the domain , we find the domain of 2square root (x)

To find domain of square root function , we set x>=0

Domain is
x\geq 0

User Seddy
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