5. Let f(x) = 4x²-x+2 √√x Find/ (+)+8+) +g 4 and g(x)=6√x- 1 1 2√x x√x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
5. Let
1
_ 4x²=X+2 and g(x) = 6√/x-2√x X√F
√x
f(x) = -
√A) + ε
4
Find f
1
4
Transcribed Image Text:5. Let 1 _ 4x²=X+2 and g(x) = 6√/x-2√x X√F √x f(x) = - √A) + ε 4 Find f 1 4
Expert Solution
Step 1

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f\left(x\right)=\frac{4x^2-x+2}{\sqrt{x}}

take x=1/4

f\left(\frac{1}{4}\right)=\frac{4\left(\frac{1}{4}\right)^2-\frac{1}{4}+2}{\sqrt{\frac{1}{4}}}

f\left(\frac{1}{4}\right)= \frac{4\cdot \frac{1}{16}-\frac{1}{4}+2}{\frac{1}{2}}

f\left(\frac{1}{4}\right)= \frac{\frac{1}{4}-\frac{1}{4}+2}{\frac{1}{2}}

f\left(\frac{1}{4}\right)= \frac{2}{\frac{1}{2}}

f\left(\frac{1}{4}\right)= 2\cdot 2

f\left(\frac{1}{4}\right)= 4

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