Given that f(x)=2 x+3 and g(x)=x^{2}-3 x-4, find (g circ f)(7).

Question

Accepted Answer

Step:1 ：Given that (f(x)=2 x+3) and (g(x)=x^{2}-3 x-4), we need to find ((g circ f)(7)).Step:2 ：This means we first apply the function (f(x)) to our input, and then apply the function (g(x)) to the result.Step:3 ：First, find (f(7)). Substituting (x = 7) into (f(x)), we get (f(7) = 2*7 + 3 = 17).Step:4 ：Next, substitute this result into (g(x)) to find ((g circ f)(7)). So, (g(f(7)) = g(17) = 17^2 - 3*17 - 4 = 234).Step:5 ：So, ((g circ f)(7) = boxed{234}).

Answer

Step: 1 ：Given that (f(x)=2 x+3) and (g(x)=x^{2}-3 x-4), we need to find ((g circ f)(7)).Step: 2 ：This means we first apply the function (f(x)) to our input, and then apply the function (g(x)) to the result.Step: 3 ：First, find (f(7)). Substituting (x = 7) into (f(x)), we get (f(7) = 2*7 + 3 = 17).Step: 4 ：Next, substitute this result into (g(x)) to find ((g circ f)(7)). So, (g(f(7)) = g(17) = 17^2 - 3*17 - 4 = 234).Step: 5 ：So, ((g circ f)(7) = boxed{234}).

Given that $f (x) = 2 x + 3$ and $g (x) = x^{2} - 3 x - 4$ , find $(g \circ f) (7)$ .

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Popular Problems

Given that f(x)=2x+3 and g(x)=x2−3x−4, find (g∘f)(7).

Answer

Popular Problems

Given that $f (x) = 2 x + 3$ and $g (x) = x^{2} - 3 x - 4$ , find $(g \circ f) (7)$ .