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Operations on functions multiplication

Find (f.g)(x), if $f(x)=5x$ and $g(x)=-x^2+1$ .

$x^2+5x-1$

$x^2+5x+1$

$-5x^3+5x$

Find (v.w)(x), if $v(x)=5x+1a$ and $w(x)=3x-2$ .

$x^2+2x+3$

$8x-1$

$15x^2-7x-2$

Find (f.g)(x), if $f(x)=\sin\sin x$ and $g(x)=3x^2$ .

$\sin\sin x+2x+3$

$x$

$\sin\sin x+3x^2$

Find (v.w)(x), if $v(x)=5x+2$ and $w(x)=3x-2$ .

$x^2+2x+3$

$8x-1$

$15x^2-4x-4$

Find (v.w)(x), if $v(x)=ax^2+bx$ and $w(x)=bx-2$ .

$ax^2+4bx-2$

$abx^3+(b^2-2a)x^2-2bx$

$ax^2+2bx-2$

Find (v.w)(x), if $v(x)=5x^2+x$ and $w(x)=3x-2$ .

$15x^3-7x^2-2x$

$5x^2-2x+2$

$5x^2+8x+1$

Find (f.g)(x), if $f(x)=2x^2$ and $g(x)=3x^2$ .

$6x^4$

$-x^2$

$2x^3+3x^2$

Find (f.g)(x), if $f(x)=2x+3$ and $g(x)=-x^2$ .

$x^2+2x+3$

$-x^2+2x+3$

$-2x^3-3x^2$

Find (v-w)(x), if $v(x)=5x+a$ and $w(x)=3x-b$ .

$2x+a+b$

$15x^2+(3a-5b)x-ab$

$8x^2+a-b$

Find (v.w)(x), if $v(x)=5x+2$ and $w(x)=3x^2-2$ .

$3x^2+5x$

$15x^3+6x^2-10x-4$

$-3x^2+5x+4$

Questions

Time

Score

Operations on functions multiplication

Find (f.g)(x), if ﻿f(x)=5xf(x)=5xf(x)=5x﻿ and ﻿g(x)=−x2+1g(x)=-x^2+1g(x)=−x2+1﻿ .

﻿x2+5x−1x^2+5x-1x2+5x−1﻿

﻿x2+5x+1x^2+5x+1x2+5x+1﻿

﻿−5x3+5x-5x^3+5x−5x3+5x﻿

Find (v.w)(x), if ﻿v(x)=5x+1av(x)=5x+1av(x)=5x+1a﻿ and ﻿w(x)=3x−2w(x)=3x-2w(x)=3x−2﻿.

﻿x2+2x+3x^2+2x+3x2+2x+3﻿

﻿8x−18x-18x−1﻿

﻿15x2−7x−215x^2-7x-215x2−7x−2﻿

Find (f.g)(x), if ﻿f(x)=sin⁡sin⁡xf(x)=\sin\sin xf(x)=sinsinx﻿ and ﻿g(x)=3x2g(x)=3x^2g(x)=3x2﻿.

﻿sin⁡sin⁡x+2x+3\sin\sin x+2x+3sinsinx+2x+3﻿

﻿xxx﻿

﻿sin⁡sin⁡x+3x2\sin\sin x+3x^2sinsinx+3x2﻿

Find (v.w)(x), if ﻿v(x)=5x+2v(x)=5x+2v(x)=5x+2﻿ and ﻿w(x)=3x−2w(x)=3x-2w(x)=3x−2﻿ .

﻿x2+2x+3x^2+2x+3x2+2x+3﻿

﻿8x−18x-18x−1﻿

﻿15x2−4x−415x^2-4x-415x2−4x−4﻿

Find (v.w)(x), if ﻿v(x)=ax2+bxv(x)=ax^2+bxv(x)=ax2+bx﻿ and ﻿w(x)=bx−2w(x)=bx-2w(x)=bx−2﻿.

﻿ax2+4bx−2ax^2+4bx-2ax2+4bx−2﻿

﻿abx3+(b2−2a)x2−2bxabx^3+(b^2-2a)x^2-2bxabx3+(b2−2a)x2−2bx﻿

﻿ax2+2bx−2ax^2+2bx-2ax2+2bx−2﻿

Find (v.w)(x), if ﻿v(x)=5x2+xv(x)=5x^2+xv(x)=5x2+x﻿ and ﻿w(x)=3x−2w(x)=3x-2w(x)=3x−2﻿ .

﻿15x3−7x2−2x15x^3-7x^2-2x15x3−7x2−2x﻿

﻿5x2−2x+25x^2-2x+25x2−2x+2﻿

﻿5x2+8x+15x^2+8x+15x2+8x+1﻿

Find (f.g)(x), if ﻿f(x)=2x2f(x)=2x^2f(x)=2x2﻿ and ﻿g(x)=3x2g(x)=3x^2g(x)=3x2﻿.

﻿6x46x^46x4﻿

﻿−x2-x^2−x2﻿

﻿2x3+3x22x^3+3x^22x3+3x2﻿

Find (f.g)(x), if ﻿f(x)=2x+3f(x)=2x+3f(x)=2x+3﻿ and ﻿g(x)=−x2g(x)=-x^2g(x)=−x2﻿.

﻿x2+2x+3x^2+2x+3x2+2x+3﻿

﻿−x2+2x+3-x^2+2x+3−x2+2x+3﻿

﻿−2x3−3x2-2x^3-3x^2−2x3−3x2﻿

Find (v-w)(x), if ﻿v(x)=5x+av(x)=5x+av(x)=5x+a﻿ and ﻿w(x)=3x−bw(x)=3x-bw(x)=3x−b﻿.

﻿2x+a+b2x+a+b2x+a+b﻿

﻿15x2+(3a−5b)x−ab15x^2+(3a-5b)x-ab15x2+(3a−5b)x−ab﻿

﻿8x2+a−b8x^2+a-b8x2+a−b﻿

Find (v.w)(x), if ﻿v(x)=5x+2v(x)=5x+2v(x)=5x+2﻿ and ﻿w(x)=3x2−2w(x)=3x^2-2w(x)=3x2−2﻿ .

﻿3x2+5x3x^2+5x3x2+5x﻿

﻿15x3+6x2−10x−415x^3+6x^2-10x-415x3+6x2−10x−4﻿

﻿−3x2+5x+4-3x^2+5x+4−3x2+5x+4﻿

Incorrect

Great!

Find (f.g)(x), if $f(x)=5x$ and $g(x)=-x^2+1$ .

$x^2+5x-1$

$x^2+5x+1$

$-5x^3+5x$

Find (v.w)(x), if $v(x)=5x+1a$ and $w(x)=3x-2$ .

$x^2+2x+3$

$8x-1$

$15x^2-7x-2$

Find (f.g)(x), if $f(x)=\sin\sin x$ and $g(x)=3x^2$ .

$\sin\sin x+2x+3$

$x$

$\sin\sin x+3x^2$

Find (v.w)(x), if $v(x)=5x+2$ and $w(x)=3x-2$ .

$x^2+2x+3$

$8x-1$

$15x^2-4x-4$

Find (v.w)(x), if $v(x)=ax^2+bx$ and $w(x)=bx-2$ .

$ax^2+4bx-2$

$abx^3+(b^2-2a)x^2-2bx$

$ax^2+2bx-2$

Find (v.w)(x), if $v(x)=5x^2+x$ and $w(x)=3x-2$ .

$15x^3-7x^2-2x$

$5x^2-2x+2$

$5x^2+8x+1$

Find (f.g)(x), if $f(x)=2x^2$ and $g(x)=3x^2$ .

$6x^4$

$-x^2$

$2x^3+3x^2$

Find (f.g)(x), if $f(x)=2x+3$ and $g(x)=-x^2$ .

$x^2+2x+3$

$-x^2+2x+3$

$-2x^3-3x^2$

Find (v-w)(x), if $v(x)=5x+a$ and $w(x)=3x-b$ .

$2x+a+b$

$15x^2+(3a-5b)x-ab$

$8x^2+a-b$

Find (v.w)(x), if $v(x)=5x+2$ and $w(x)=3x^2-2$ .

$3x^2+5x$

$15x^3+6x^2-10x-4$

$-3x^2+5x+4$