# QF Q6.) Find the function for b.

The function notation f(x)=2x-4 means replace the x on the right-hand side with the value in parentheses on the left. For example, f(y)=2y-4; f(4)=2(4)-4=4; f(1)=2(1)-4=-2 and so on. The same principle applies to g(x), for example g(2)=4(2^2)-3=13, g(x+1)=4(x+1)^2-3=4(x^2+2x+1)-3=4x^2+8x+4-3=4x^2+8x+1 and so on. (g of f)(x) is another way to write g(f(x)), therefore g(f(x)) =g(2x-4)   [because f(x)=2x-4 =4(2x-4)^2-3 =4(4x^2-16x+16)-3 =16x^2-64x+64-3 =16x^2-64x+61

(g₀f)(x)=g(f(x)) =g(2x-4) =4(2x-4)^2-3 =4(4x^2-16x+16)-3 =16x^2-64x+61

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