Oliver

10-26-2013, 04:24 AM

If f(x)=x+4 , g(x)=x^2-2 and h(x)= \sqrt{x}, which of the following is f(g(h(x)))?

(A) x+2

(B) (x+2)^2

(C) (x+4)^2

(D) x+4

Thanks!:):)

(A) x+2

(B) (x+2)^2

(C) (x+4)^2

(D) x+4

Thanks!:):)

View Full Version : Composition of functions

Oliver

10-26-2013, 04:24 AM

If f(x)=x+4 , g(x)=x^2-2 and h(x)= \sqrt{x}, which of the following is f(g(h(x)))?

(A) x+2

(B) (x+2)^2

(C) (x+4)^2

(D) x+4

Thanks!:):)

(A) x+2

(B) (x+2)^2

(C) (x+4)^2

(D) x+4

Thanks!:):)

nicole

10-26-2013, 04:25 AM

The composition of these three functions is given by

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

Therefore the correct answer is (A).

Hope these help!!:)

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

Therefore the correct answer is (A).

Hope these help!!:)

Oliver

10-26-2013, 04:26 AM

Thanks Nicole!!;)

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