What is the value of fofogogof xA- x2B- XC- x-3-4 x-5D- 2 x -3

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Standard XII

Mathematics

Properties of Determinants

What is the v...

Question

What is the value of fo(fog)o(gof) (x)

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x²

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2x + 3

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Solution

The correct option is C 2x + 3
Option (c)

fo(fog)0(gof) (x)

We have, fog (x) = gof (x) = x

So given expression reduces to f(x), that is, 2x + 3

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Q. What is the value of fo(fog)o(gof) (x)

Q. What is the value of (gofofogogof) (x) (fogofog) (x)

Prove that :

(i) ${(\frac{x^{a}}{x^{b}})}^{a^{2} + a b + b^{2}} \times {(\frac{x^{b}}{x^{c}})}^{b^{2} + a b + c^{2}} \times {(\frac{x^{c}}{x^{a}})}^{c^{2} + c a + a^{2}} = 1$

(ii) ${(\frac{x^{a}}{x^{b}})}^{c} \times {(\frac{x^{b}}{x^{c}})}^{a} \times {(\frac{x^{c}}{x^{a}})}^{b} = 1$

Find the value of x in the equation $5 + 3 = x$ .

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What is the value of fo(fog)o(gof) (x)

The correct option is C 2x + 3Option (c) fo(fog)0(gof) (x) We have, fog (x) = gof (x) = x So given expression reduces to f(x), that is, 2x + 3

The correct option is C 2x + 3
Option (c)

fo(fog)0(gof) (x)

We have, fog (x) = gof (x) = x

So given expression reduces to f(x), that is, 2x + 3