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A function f(x) is defined as f(x)=x^2+3...

A function `f(x)` is defined as `f(x)=x^2+3`. Find `f(0), F(1), f(x^2), f(x+1)` and `f(f(1))`.

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`f(0)=0^2+3=3`
`f(1)=1^2+3=4, f(x^2)=(x^2)^2+3=x^4+3`
`f(x+1)=(x+1)^2+3=x^2+2x+4`
`f(f(1))=f(4)=4^2+3=19`
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CENGAGE PHYSICS-BASIC MATHEMATICS-Exercise 2.6
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  6. A particle starts moving along the x-axis from t=0, its position varyi...

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  7. A particle moves along the x-axis obeying the equation x=t(t-1)(t-2), ...

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  8. The speed of a car increases uniformly from zero to 10ms^-1 in 2s and ...

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  9. A car accelerates from rest with 2ms^-2 for 2s and then decelerates co...

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  10. A stationary particle of mass m=1.5kg is acted upon by a variable forc...

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  11. The displacement of a body at any time t after starting is given by s=...

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  12. A particle moves along a staight line such that its displacement at an...

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  13. The displacement x of a particle moving in one dimension under the act...

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  14. The position x of a particle varies with time t according to the relat...

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  15. The displacement of a particle along the x-axis is given by x=3+8t+7t^...

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  16. The acceleration a in ms^-2 of a particle is given by a=3t^2+2t+2, whe...

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  17. The displacement x of a particle along the x-axis at time t is given b...

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  18. A particle moves along a straight line such that its displacement s at...

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  19. The acceleration of a bus is given by ax(t)=at, where a=1.2ms^-2. a....

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  20. The acceleration of a motorcycle is given by ax(t)=At-Bt^2, where A=1....

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