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Using the function f and g given below, ...

Using the function f and g given below, find the fog and gof. Check whether fog=gof.
`f(x)=x-6, g(x)=x^(3)`

Text Solution

Verified by Experts

The correct Answer is:
`fog(x)=x^(2)-6`
`gof(x)=(x-6)^(2)`
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SURA PUBLICATION-RELATIONS AND FUNCTIONS-EXECRISE 1.5
  1. Using the function f and g given below, find the fog and gof. Check wh...

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  2. Using the function f and g given below, find the fog and gof. Check wh...

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  3. Using the function f and g given below, find the fog and gof. Check wh...

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  4. Using the function f and g given below, find the fog and gof. Check wh...

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  5. Using the function f and g given below, find the fog and gof. Check wh...

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  6. Find the value of k, such that fog=gof f(x)=3x+2, g(x)=6x-k

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  7. Find the value of k, such that fog=gof f(x)=2x-k, g(x)=4x+5

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  8. If f(x)=2x-1, g(x)=(x+1)/(2), show that fog=gof=x.

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  9. If f(x)=x^(2)-1, g(x)=x-2 find a, if gof(a)=1.

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  10. Find k, if f(k)=2k-1 and fof(k)=5.

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  11. Let A, B, C in N and a function f:A to B be defined by f(x)=2x+1 and g...

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  12. If f(x)=x^(2)-1. Find fof

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  13. If f(x)=x^(2)-1. Find fofof

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  14. If f: R to R and g: R to R are defined by f(x)=x^(5) and g(x)=x^(4) th...

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  15. Consider the function f(x), g(x), h(x) as given below. Show that (fog)...

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  16. Consider the function f(x), g(x), h(x) as given below. Show that (fog)...

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  17. Consider the function f(x), g(x), h(x) as given below. Show that (fog)...

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  18. Let f={(-1, 3}, (0, -1), (2, -9)} be linear function from Z into Z. Fi...

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  19. In electrical circuit theory, a circuit C(t) called a linear circuit i...

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