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Class 12 Maths Practice Test - Composition of Functions and Invertible Function
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Class 12 Maths Practice Test - Composition of Functions and Invertible Function
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10 Questions

1. If f:R→R is given by f(x)=(5+x4)1/4, then fοf(x) is _______
2. The function f:R→R defined by f(x)=5x+9 is invertible.
3. Let f:R+→[9,∞) given by f(x)=x2+9. Find the inverse of f.
4. If f:R→R f(x)=cos⁡x and g(x)=7x3+6, then fοg(x) is ______
5. A function is invertible if it is ____________
6. If f:N→N, g:N→N and h:N→R is defined f(x)=3x-5, g(y)=6y2 and h(z)=tan⁡z, find ho(gof).
7. If f:R→R, g(x)=3x2+7 and f(x)=√x, then gοf(x) is equal to _______
8. Let the function f be defined by f(x)=\(\frac{9+3x}{7-2x}\), then f-1(x) is ______
9. Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.
10. The composition of functions is both commutative and associative.

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