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The function h is defined below.x² - 4x - 12h(x) =12x +322X-Find all values of x that are NOT in the domain of h.If there is more than one value, separate them with commas.

The Function H Is Defined Belowx 4x 12hx 12x 322XFind All Values Of X That Are NOT In The Domain Of HIf There Is More Than One Value Separate Them With Commas class=

Sagot :

Answer:

x=4,8

Explanation:

Given the function, h(x) defined below:

[tex]h(x)=\frac{x^{2}-4 x-12}{x^{2}-12 x+32}[/tex]

The values of x that are NOT in the domain of h are the values for which the denominator is 0, i.e.

[tex]x^2-12x+32=0[/tex]

Solve the quadratic equation for x:

[tex]\begin{gathered} x^2-8x-4x+32=0 \\ x(x-8)-4(x-8)=0 \\ (x-4)(x-8)=0 \\ x-4=0\text{ or }x-8=0 \\ x=4\text{ or }x=8 \end{gathered}[/tex]

The values of x that are NOT in the domain of h are: x=4,8

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