Given $f (x) = 3 x^{2} + 2, g (x) = 4 x, h (x) = 7 x - 1$ $f(x)=3x^2+2, g(x)=4x, h(x)=7x-1$ , how do you determine the combined function of $y = f (x) + g (x) - h (x)$ $y=f(x)+g(x)-h(x)$ ?

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Answer 1 · 2017-12-26T22:43:54

$y = 3 x^{2} - 3 x + 3$ $y=3x^2-3x+3$

$y = f (x) + g (x) - h (x) = 3 x^{2} + 2 + 4 x - (7 x - 1) =$ $y=f(x)+g(x)-h(x)=3x^2+2+4x-(7x-1)=$

$y = 3 x^{2} + 2 + 4 x - 7 x + 1 = 3 x^{2} - 3 x + 3$ $y=3x^2+2+4x-7x+1=3x^2-3x+3$

It's like simple addition and substraction

Given f(x)=3x^2+2, g(x)=4x, h(x)=7x-1f(x)=3x2+2,g(x)=4x,h(x)=7x−1f(x)=3x^2+2, g(x)=4x, h(x)=7x-1, how do you determine the combined function of y=f(x)+g(x)-h(x)y=f(x)+g(x)−h(x)y=f(x)+g(x)-h(x)?