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If f(x)= x2 and g(x)= x + 6, find g(fo)).
OA.
-6
OB.
6
O C.
12
OD.
D. 36

Sagot :

Given:

The functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=x+6[/tex]

To find:

The value of g(f(0)).

Solution:

We have,

[tex]f(x)=x^2[/tex]

Putting x=0, we get

[tex]f(0)=0^2[/tex]

[tex]f(0)=0[/tex]

Now,

[tex]g(f(0))=g(0)[/tex]                [tex][\because f(0)=0][/tex]

[tex]g(f(0))=0+6[/tex]            [tex][\because g(x)=x+6][/tex]

[tex]g(f(0))=6[/tex]

Therefore, the value of g(f(0)) is 6 and the correct option is B.

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