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Home > Algebra calculators > Functions
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1. Functions
1. Find Range of `f:A->B`
eg. 1. `f(x)=5x+2` where `A={1<=x<5}`, 2. `f(x)=sqrt(x)` where `A={1,4,16,36}`
2. Composite functions and Evaluating functions
eg. 1. `f(x)=2x+1`, `g(x)=x+5`. Find `fog(x)`, also evaluate at `x=2`
2. `fog(x)=(x+2)/(3x), f(x)=x-2`. Find g(2).
3. `gof(x)=1/x^2, f(x)=2+x^2`. Find g(x).
3. Find value
eg. 1. `f(x)=x(x+1)(2x+1)`. Find `f(x)-f(x-1)`, 2. `f(x)=x^2-2^x`. Find `f(2)-f(0)`
4. Verifying if two functions are inverses of each other
eg. 1. `f(x)=x+3,g(x)=x-3`, 2. `f(x)=4x-3,g(x)=(x+3)/4`, 3. `f(x)=x/(x-1),g(x)=(2x)/(2x-1)`
2. Functions
1. Domain of a function
2. Range of a function
3. Inverse of a function
4. Properties of a function
5. Parabola Vertex form
6. Parabola Focus
7. axis symmetry of a parabola
8. Parabola Directrix
9. Intercept of a function
10. Parity of a function
11. Asymptotes of a function
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