$- 5x + 2y = 6 \\ - x + 2y = - 2 \\ \\ - 5x + 2y - ( - x + 2y) = 6 - ( - 2) \\ - 5x + 2y + x - 2y = 6 + 2 \\ - 4x = 8 \\ \frac{ - 4x}{ - 4} = \frac{8}{ - 4 } \\ x = (- 2) \\ \\ -5x + 2y = 6 \\ - 5 \times - 2 + 2y = 6 \\ 10 + 2y = 6 \\ 2y = 6 - 10 \\ 2y = - 4 \\ \frac{2y}{2} = \frac{ - 4}{2} \\ y = - 2 \\ now \: lets \: see \: whether \\ this \: equation \: is \: correct. \\ - x + 2y = - 2 \\ - ( - 2) + 2 \times - 2 = - 2 \\ 2 + 2 \times - 2 = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \\ yes \: this \: equation \: is \\ correct.$

7 0

3 years ago

F(x) = 2x + 3g(x) = 2x² + 6x + 13Find: (gºf)(x)

Butoxors [25]

Answer:

The function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

Explanation:

Given the functions;

$\begin{gathered} f(x)=2x+3 \\ g(x)=2x^2+6x+13 \end{gathered}$

Solving for the function;

$(g\circ f)(x)=g(f(x))$

so, we have;

$\begin{gathered} g(f(x))=2(f(x))^2+6(f(x))+13 \\ g(f(x))=2(2x+3)^2+6(2x+3)+13 \\ g(f(x))=2(4x^2+12x+9)^{}+6(2x)+6(3)+13 \\ g(f(x))=8x^2+24x+18^{}+12x+18+13 \\ g(f(x))=8x^2+24x^{}+12x+18+18+13 \\ g(f(x))=8x^2+36x+49 \end{gathered}$

Therefore, the function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

5 0

1 year ago