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vodomira [7]
3 years ago
7

Find the X intercepts of the equation f(x) = x^2 - 6x + 6

Mathematics
1 answer:
Arturiano [62]3 years ago
8 0

Answer:

x-intercepts = (x ≈ -0.87), (x ≈ 6.87)

Step-by-step explanation:

let x = 0, in equation for x-intercepts

solve for x using the

quadratic formula

x = <u>−6 ± √ 36 + 24 </u>

               2x

= <u>−6 ± √60</u>

         −2x

 = <u>−6 ± 2 √ 15</u>

           −2           = 3 ± √15

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koban [17]

Answer:

g[f(2)] = 10

Step-by-step explanation:

Given functions:

\begin{cases}f(x)=3x^2-4\\g(x)=2x-6\end{cases}

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\begin{aligned}\implies f(2)& =3(2)^2-4\\& = 3(4)-4\\& = 12-4\\& = 8\end{aligned}

Now substitute the found value of f(2) into function g(x):

\begin{aligned}g[f(2)] & = 2[f(2)]-6\\\implies g[f(2)] & =2(8)-6\\& = 16-6\\& = 10\end{aligned}

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