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Find (g◦f)(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
−25x2+1-25x^2+1−25x2+1
Find (v◦w)(x), if v(x)=5x+1v(x)=5x+1v(x)=5x+1 and w(x)=3x−2w(x)=3x-2w(x)=3x−2.
x2+2x+3x^2+2x+3x2+2x+3
8x−18x-18x−1
15x−915x-915x−9
Find (w◦v)(x), if v(x)=5x+av(x)=5x+av(x)=5x+a and w(x)=3x−bw(x)=3x-bw(x)=3x−b.
15x−5b+a15x-5b+a15x−5b+a
15x2+(3a−5b)x−ab15x^2+(3a-5b)x-ab15x2+(3a−5b)x−ab
15x−b+3a15x-b+3a15x−b+3a
Find (g◦f)(x), if f(x)=sinsinxf(x)=\sin\sin xf(x)=sinsinx and g(x)=3x2g(x)=3x^2g(x)=3x2 .
sinsin3x2\sin\sin3x^2sinsin3x2
3sin2x3\sin^2x3sin2x
sinsinx+3x2\sin\sin x+3x^2sinsinx+3x2
Is the sentence true or false?
If v(x)=ax2+bxv(x)=ax^2+bxv(x)=ax2+bx and w(x)=bx−2w(x)=bx-2w(x)=bx−2 ,
then (w◦v)(x)= (v◦w)(x).
True
False
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 .
8x2+a−b8x^2+a-b8x2+a−b
Find (f◦g)(x), if f(x)=5xf(x)=5xf(x)=5x and g(x)=−x2+1g(x)=-x^2+1g(x)=−x2+1.
−5x2+5-5x^2+5−5x2+5
Find (f◦g)(x), if f(x)=sinsinxf(x)=\sin\sin xf(x)=sinsinx and g(x)=3x2g(x)=3x^2g(x)=3x2.
sinsin3x2\sin\sin3x^2sinsin3x2
xxx
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
15x2−10x+215x^2-10x+215x2−10x+2
−3x2+5x+4-3x^2+5x+4−3x2+5x+4
Find (v◦w)(x), if v(x)=5x2+xv(x)=5x^2+xv(x)=5x2+x and w(x)=3xw(x)=3xw(x)=3x.
15x3−7x2−2x15x^3-7x^2-2x15x3−7x2−2x
45x2+3x45x^2+3x45x2+3x
5x2+8x+15x^2+8x+15x2+8x+1
It is done.