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Composite Function

Let f : R → R...

Question

Let f : R → R and f(x) = x²and g: R → R such that g(x) = sinx. Then, g o f = ?

A

x² + sin x

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B

sin x²

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C

(sin x)²

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D

sin x³

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Solution

The correct option is B
sin x²

((x) = g(f(x)) = g() = sin x²

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Similar questions

f : R \to R, g : R \to R

f (x) = sin x

g (x) = x^{2}

f o g (x) =

f : R^{+} \to R^{+}, f (x) = x^{2} + 2

g : R^{+} \to R^{+}, g (x) = \sqrt{x + 1}

(f + g) (x)

Q. If the functions

f : R \to R

g : R \to R

f (x) = 2 x + 1, g (x) = x^{2} - 2

. Find the formulate for g o f and f o g.

Q. The composite mapping

f o g

f : R \to R, f (x) = sin x

g : R \to R, g (x) = x^{2}

f : R \to R^{+}

g : R^{+} \to R

g (f (x)) = | sin x |

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

, then a possible choice for f and g is

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