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Chapter 2: Q. 4 (page 126)

Find the domain of each function and evaluate each function at x=-1.

role="math" localid="1645961084507" h(x)=x-4x2+5x-36

Short Answer

Expert verified

The domain of the function is x|x鈮�-9,x鈮�4

The value atx=-1is18

Step by step solution

01

Step 1. Find the domain of the function.

h(x)=x-4x2+5x-36

For domain, denominator cannot be zero.

So,

x2+5x-36鈮�0x2+9x-4x-36鈮�0x(x+9)-4(x+9)鈮�0(x+9)(x-4)鈮�0x鈮�-9,4

Therefore, the domain of the function is x belongs to all real numbers except -9,4.

02

Step 2. Find value of h(x) at x=-1

h(x)=x-4x2+5x-36h(-1)=-1-4(-1)2+5(-1)-36h(-1)=-5-40h(-1)=18

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Most popular questions from this chapter

Write the point鈥搒lope form of the line with slope 5 containing the point (3, -2).

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