If f(x)=4x , g(x)=2x-1 and h(x)=x^2+1, what is fogoh(x)? Please simplify the result.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The functions f(x)=4x , g(x)=2x-1 and h(x)=x^2+1. We need to determine fogoh(x)

fogoh(x) = f(g(h(x)))

=> f(g(x^2 + 1)

=> f( 2*(x^2 + 1) - 1)

=> 4*(2*(x^2 + 1) - 1)

=> 4*(2x^2 + 2 - 1)

=> 4*(2x^2 + 1)

=> 8x^2 + 4

The required value of fogoh(x) = 8x^2 + 4

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