142k views
1 vote
Suppose that the function h is defined, For all real numbers, as follows

Please help

Suppose that the function h is defined, For all real numbers, as follows Please help-example-1
User GreenKiwi
by
8.3k points

2 Answers

3 votes

Answer:


h(-3)=\boxed{(5)/(4)}


h(2)=\boxed{3}


h(5)=\boxed{-(19)/(4)}

Explanation:

Given piecewise function:


h(x) \begin{cases} -(3)/(4)x-1\; &\text{if}\;x\\eq 2\\\\3 \; &\text{if}\;x=2 \end{cases}

To find h(-3), substitute x = -3 into the function:


\begin{aligned}\implies h(-3)&=-(3)/(4)(-3)-1\\\\&=(9)/(4)-1\\\\&=(9)/(4)-(4)/(4)\\\\&=(5)/(4)\end{aligned}

To find h(2), substitute x = 2 into the function:


\implies h(2)=3

To find h(5), substitute x = 5 into the function:


\begin{aligned}\implies h(5)&=-(3)/(4)(5)-1\\\\&=-(15)/(4)-1\\\\&=-(15)/(4)-(4)/(4)\\\\&=-(19)/(4)\end{aligned}

User Alex Peattie
by
8.8k points
5 votes

Answer:

  • 5/4; 3; - 19/4

--------------------------------

Find the following:

  • h(-3) = (- 3/4) * (- 3) - 1 = 9/4 - 1 = 5/4, since x ≠ 2
  • h(2) = 3, since x = 2
  • h(5) = (- 3/4) * 5 - 1 = - 15/4 - 1 = - 19/4, since x ≠ 2
User John Sibly
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories