/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 175 Find the zeros of the function \... [FREE SOLUTION] | 91影视

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Chapter 9: Problem 175

Find the zeros of the function \(\mathrm{f}\) if \(\mathrm{f}(\mathrm{x})=3 \mathrm{x}-5\).

Short Answer

Expert verified
To find the zeros of the function \(f(x) = 3x - 5\), set the equation equal to 0: \(3x - 5 = 0\). Isolate the x term by adding 5 to both sides: \(3x = 5\). Then, solve for x by dividing both sides by 3: \(x = \frac{5}{3}\). The only zero of the function is \(x = \frac{5}{3}\).

Step by step solution

01

Set function equal to 0

In order to find the zeros of the function f(x) = 3x - 5, we will set the equation equal to 0. \(3x - 5 = 0\)
02

Isolate the x term

We will now isolate the x term by adding 5 to both sides of the equation. \(3x - 5 + 5 = 0 + 5\) Which simplifies to: \(3x = 5\)
03

Solve for x

Now, we will solve for x by dividing both sides of the equation by 3. \(\frac{3x}{3} = \frac{5}{3}\) This simplifies to: \(x = \frac{5}{3}\) The only zero of the function f(x) = 3x - 5 is \(x = \frac{5}{3}\).

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Most popular questions from this chapter

Let the domain of \(\mathrm{M}=\\{(\mathrm{x}, \mathrm{y}): \mathrm{y}=\mathrm{x}\\}\) be the set of real numbers. Is M a function?

If \(\mathrm{f}(\mathrm{x})=(\mathrm{x}-2) /(\mathrm{x}+1)\), find the function values \(\mathrm{f}(2)\) \(\mathrm{f}(1 / 2)\), and \(\mathrm{f}(-3 / 4)\)

If \(\mathrm{g}(\mathrm{x})=\mathrm{x}^{2}-2 \mathrm{x}+1\), find the given element \(\mathrm{m}\) the range, a) \(g(-2)\) b) \(\mathrm{g}(0)\) c) \(g(a+1)\) d) \(g(a-1)\)

If \(\mathrm{D}\) a \(\\{\mathrm{x} \mid \mathrm{x}\) is an integer and \(-2 \leq \mathrm{x} \leq 1\\}\), find the function \(\left\\{(\mathrm{x}, \mathrm{f}(\mathrm{x})) \mid \mathrm{f}(\mathrm{x})=\mathrm{x}^{3}-3\right.\) and \(\mathrm{x}\) belongs to \(\left.\mathrm{D}\right\\}\)

For each of the following functions, with domain equal to the set of all whole numbers, find: (a) \(\mathrm{f}(0)\); (b) \(\mathrm{f}(1)\); (c) \(\mathrm{f}(-1)\) (d) \(\mathrm{f}(2)\) (e) \(\mathrm{f}(-2)\) (1) \(f(x)=2 x^{3}-3 x+4\) (2) \(\mathrm{f}(\mathrm{x})=\mathrm{x}^{2}+1\).
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