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Evaluate #2-7 given the functions f(x), g(x) and h(x) below. Show all work! x² - 1 –5 if if XS-1 xs-3 h(x) = 4 if '-13549(4) = {-x-4)-1 if x 4 x² – 5 if x 5 |x - 51 - 2 if x > 4 2. **g(4) 3. *f(-3) 4. 4. ** (-5) 5. ** h(6) 6. g(6) 7. f(-

User Traveler
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ANSWER:

Given following piecewise functions (Defined on more than one intervals).


h(x)\text{ =}\begin{cases}x^2-1\text{ , x }\leq-1\text{ } \\ 4,\text{ -1 }We will evaluate these functions in order as <strong>f(x)</strong> , <strong>g(x)</strong> and finally<strong> h(x). </strong><p>Next these functions will be evaluated.</p>[tex]\begin{gathered} f(-(7)/(2))=-5 \\ g(4)=-3 \\ h(-(1)/(2))=-(1)/(2) \end{gathered}

NOTE! To evaluate h(x) at given x, we were required to evaluate g(x) at the same x value.

This is the result of evaluating three piecewise functions at specified x values, as it was asked in the question.!

User KrekkieD
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