Home > Algebra calculators > Composite functions and Evaluating functions fog(x), f(2) calculator

Method and examples
Composite functions and Evaluating functions : f(x), g(x), fog(x), gof(x) calculator

Method

1. Find Range of f:A->B
 f(x) = A = A = , x in N Z Q R , x is odd even prime
1. f(x)=5x+2 and A={1<=x<5; x in N; x is odd}
2. f(x)=3x-2 and A={x in N}
3. f(x)=|2x+1| and A={x in Z}
4. f(x)=x^3 and A={-2<=x<=2}
5. f(x)=sqrt(x) and A={1,4,16,36}
6. f(x)=x^2 and A={[1,5]}
7. f(x)=(-2)^x and A={x in N}
8. f(x)=sin(x) and A={0,30,90}
9. f(x)=(x^2+1)/(x+1) and A={-2,0,2}
10. f(x)=x^2-2x+3 and A={-1,3}

2. Composite functions and Evaluating functions : f(2), g(3), fog(x), gof(x), fof(x), (f+g)(x)
 f(x) g(x) fog(x) gof(x) = f(x) g(x) fog(x) gof(x) = Find f g fog gof fof gog (f+g) (f-g) (f*g) (f/g) ()

1. f(x)=x-1, g(x)=3x+5. Find fog(x).
2. f(x)=x+3, g(x)=x^2. Find gof(x).
3. f(x)=3x+1, g(x)=-x^2+5. Find gof(x).
4. f(x)=4x+1, g(x)=2x-3. Find gof(2).
5. fog(x)=(x+2)/(3x), f(x)=x-2. Find g(2).
6. gof(x)=(x+2)/(3x), g(x)=x-2. Find f(x).
7. fog(x)=2x^2-1, f(x)=2+x^2. Find g(x).
8. gof(x)=1/x^2, f(x)=2+x^2. Find g(x).

3. Find value
 f(x) = g(x) = Find

1. f(x)=x(x+1)(2x+1). Find f(x)-f(x-1).
2. f(x)=1/(x+1). Find f(-x)-f(x).
3. f(x)=1/x. Find f(x+1)-f(x-1).
4. f(x)=x^2-x. Find f(x+1)-f(x).
5. f(x)=2x-3. Find f(0)+f(1)+f(2).
6. f(x)=x^2-2^x. Find f(2)-f(0).
7. f(x)=(x^2+1)/(x^3-x+1). Find f(1)-f(0).
8. f(x)=2x-6. Find f(a-3)+f(a).
9. f(x)=(x-2)^2. Find f(x+2).

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