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tered at -2 for
f(x)=(2)/(6-x) and give the inter

tered at $-2$ for $f(x)=\frac{2}{6-x}$ and give the inter

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Powers with decimal bases

Full solution

Q. tered at

-2

for

f(x)=\frac{2}{6-x}

and give the inter

Identify $x$ value: Identify the value of $x$ to substitute into the function. $x = -2$
Substitute $x$ into function: Substitute $x = -2$ into the function $f(x) = \frac{2}{6-x}$ . $\newline$ $f(-2) = \frac{2}{6-(-2)}$
Simplify denominator: Simplify the denominator by adding $6$ and $-2$ . $6 - (-2) = 6 + 2 = 8$
Calculate function value: Calculate the value of the function with the simplified denominator. $f(-2) = \frac{2}{8}$
Reduce fraction: Reduce the fraction to its simplest form. $\frac{2}{8} = \frac{1}{4}$
Determine function interval: Determine the interval of the function where it is defined. $\newline$ The function is undefined when the denominator is zero, so $6 - x \neq 0$ . $\newline$ $x \neq 6$ $\newline$ The interval of the function is all real numbers except $x = 6$ .

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