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Composition of Functions

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

Find (v◦w)(x), if v(x)=5x+1v(x)=5x+1 and w(x)=3x2w(x)=3x-2.

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

Find (g◦f)(x), if f(x)=sinsinxf(x)=\sin\sin x and g(x)=3x2g(x)=3x^2 .

Is the sentence true or false?

If v(x)=ax2+bxv(x)=ax^2+bx and w(x)=bx2w(x)=bx-2 ,

then (w◦v)(x)= (v◦w)(x).

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

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

Find (f◦g)(x), if f(x)=sinsinxf(x)=\sin\sin x and g(x)=3x2g(x)=3x^2.

Find (v◦w)(x), if v(x)=5x+2v(x)=5x+2 and w(x)=3x22w(x)=3x^2-2 .

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