Operations on Functions, #2 (Grades 11-12)
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Operations on Functions, #2
1.
Given [math]f(x)=3x+4 and g(x)=2x-3 [/math], find [math]f(x) *g(x)[/math].
- [math]6x^2+x-12[/math]
- [math]6x^2-x+12[/math]
- [math]-6x^2-x-12[/math]
- [math]6x^2-x-12[/math]
2.
What is [math]f(x) - g(x)[/math] if [math]f(x) = 3x + 2[/math] and [math]g(x) = 5 - 2x?[/math]
- [math]x + 7[/math]
- [math]5x - 3[/math]
- [math]x - 3[/math]
- [math]-2x + 4[/math]
3.
Find [math](f-g)(x)[/math].
[math]f(x)=3x[/math]
[math]g(x)=-2x+6[/math]
[math]f(x)=3x[/math]
[math]g(x)=-2x+6[/math]
- [math]6x-5[/math]
- [math]x+6[/math]
- [math]5x-6[/math]
- [math]-6x+18[/math]
4.
Find [math](f*g)(x)[/math] if [math]f(x) = x^2 - 6x + 2[/math] and [math]g(x) = 5x-7[/math].
- [math]5x^3 +23x^2 -32x - 14[/math]
- [math]5x^3 - 37x^2 + 52x - 14[/math]
- [math]5x^3 - 6x - 14[/math]
- [math]-32x^2 + 42x - 14[/math]
5.
For [math]f(x) = 3x^2 + 9x[/math] and [math]g(x) = x-6[/math], find [math](f-g)(x)[/math].
- [math]3x^2 + 8x + 6[/math]
- [math]3x^2 + 9x - 6[/math]
- [math]3x^2 - 8x + 6[/math]
- [math]3x^2 - 10x - 6[/math]
6.
For [math]f(x) = 7x^3 - 8x^2 + x - 12[/math] and [math]g(x) = -x^2 + 5x +2[/math], find [math](f+g)(x)[/math].
- [math]7x^3 - 7x^2 - 4x - 14[/math]
- [math]7x^3 - 8x^2 + 5x - 12[/math]
- [math]7x^3 + 9x^2 + x - 10[/math]
- [math]7x^3 - 9x^2 + 6x - 10[/math]
7.
Find [math](f+g)(x)[/math] if [math]f(x) = 3x^2 - 9[/math] and [math]g(x) = -7x + 1[/math].
- [math]3x^2 - 7x - 8[/math]
- [math]3x^2 - 8[/math]
- [math]3x^2 + 7x - 10[/math]
- [math]-4x^2 - 8[/math]
8.
If [math]f(x) = 8x + 4[/math] and [math](f-g)(x) = 16x + 5[/math], find [math]g(x)[/math].
- [math]g(x) = 24x + 9[/math]
- [math]g(x) = 8x + 1[/math]
- [math]g(x) = -8x - 1[/math]
- [math]g(x) = -8x + 1[/math]
9.
Find [math]f(x)[/math] if [math]g(x) = 3x-1[/math] and [math](f*g)(x) = 6x^2 + 10x - 4[/math].
- [math]f(x) = x-2[/math]
- [math]f(x) = 2x + 10/3[/math]
- [math]f(x) = x+2[/math]
- [math]f(x) = 2x+4[/math]
10.
If [math]f(x) = 9x^3 - 6x^2 + 10[/math] and [math](f+g)(x) = 9x^3 - 10x^2 - 10x + 5[/math], find [math]g(x)[/math].
- [math]9x^3 - 19x^2 - 4x - 5[/math]
- [math]-16x^2 -10x +15[/math]
- [math]-4x^2 - 10x - 5[/math]
- [math]4x^2 - 5[/math]
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