Answered

Explore IDNLearn.com's extensive Q&A database and find the answers you're looking for. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.

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

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.