Operations on Functions (Grades 11-12)
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Operations on Functions
1.
Given [math]f(x)=3x+4 and g(x)=2x-3 [/math], find [math]f(x)+g(x)[/math].
- [math]5x+1[/math]
- [math]5x +7[/math]
- [math]x+1[/math]
- [math]x-1[/math]
2.
Let [math]f(x)=3x+2 and g(x)=x-3.[/math] Find [math]f(x)-g(x)[/math].
- [math]2x-5[/math]
- [math]2x+5[/math]
- [math]4x-1[/math]
- [math]2x-1[/math]
3.
Find [math](f + g)(x)[/math] if [math]f(x) = 4x - 3[/math] and [math]g(x) = x + 9[/math].
- [math]4x^2 - 27[/math]
- [math]4x+6[/math]
- [math]5x+6[/math]
- [math]5x-6[/math]
4.
Find [math](f - g)(x)[/math] if [math]f(x) = 7x^2 - 9x + 1[/math] and [math]g(x) = -3x^2 + 5x -9[/math].
- [math]4x^2-14x+10[/math]
- [math]10x^2-4x+10[/math]
- [math]4x^2-4x-8[/math]
- [math]10x^2-14x+10[/math]
5.
[math]f(x)= -3x-5[/math] and [math]g(x)= 4x[/math]. Find [math](f*g) (x)[/math].
- [math]1x -5[/math]
- [math]7x -5[/math]
- [math]12x^2 +20[/math]
- [math]-12x^2 - 20x[/math]
6.
Find [math](f+g)(x)[/math].
[math]f(x)=x-1[/math]
[math]g(x)=5x-2[/math]
[math]f(x)=x-1[/math]
[math]g(x)=5x-2[/math]
- [math]-2x+5[/math]
- [math]4x+1[/math]
- [math]6x+3[/math]
- [math]6x-3[/math]
7.
Let [math]f(x)=3x +2 and g(x)=7x +6[/math]. Find [math](f*g)(x)[/math].
- [math]6x^2 +4x +42[/math]
- [math]6x^2 +4x +56[/math]
- [math]21x^2 +32x +12[/math]
- [math]21 x^2 + 32x +24[/math]
8.
[math]g(x)= 8x^2-3[/math] and [math]f(x)= -4x^2[/math].
Find [math] (g + f) (x) [/math].
Find [math] (g + f) (x) [/math].
- [math]-32x^4-3[/math]
- [math]12x^4 - 3[/math]
- [math]4x^2 -3[/math]
- [math]4x^4 -3[/math]
9.
Find [math](f*g)(x)[/math] if [math]f(x) = 2x-5[/math] and [math]g(x) = x+3[/math].
- [math]2x^2 -15[/math]
- [math]2x^2 + x -15[/math]
- [math]2x^2 + 11x -15[/math]
- [math]2x^2 - x +15[/math]
10.
Given [math]f(x)=x^2-4x+6[/math] and [math]g(x)=7x-2[/math], find [math]f(x) + g(x)[/math].
- [math]x^2+3x+4[/math]
- [math]x^2+11x+4[/math]
- [math]x^2+3x+8[/math]
- [math]x^2-3x-8[/math]
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