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2 years ago

F(x) = 3x + 2; g(x) = 3x - 5 Find f/g.

Mathematics

2 answers:

Debora [2.8K]2 years ago

8 0

Answer:

$(\dfrac{f}{g})(x)=\dfrac{3x+2}{3x-5}$ for $x\neq \dfrac{5}{3}$ .

Step-by-step explanation:

The given functions are

$f(x)=3x+2$

$g(x)=3x-5$

We need to find the function $(\dfrac{f}{g})(x)$ .

Using division property of functions.

$(\dfrac{f}{g})(x)=\dfrac{f(x)}{g(x)}$

Substitute the values of functions.

$(\dfrac{f}{g})(x)=\dfrac{3x+2}{3x-5}$

This function is defined for all values of x, except a value for which 3x-5=0.

$3x-5=0\Rightarrow x=\dfrac{5}{3}$

Therefore, the required function is $(\dfrac{f}{g})(x)=\dfrac{3x+2}{3x-5}$ for $x\neq \dfrac{5}{3}$ .

Sunny_sXe [5.5K]2 years ago

6 0

$\left(\dfrac{f}{g}\right)(x)=\dfrac{3x+2}{3x-5}$

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3 years ago

Pearl uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is

Ratling [72]

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She use <u>5.88 pints</u> of white paint.

Step-by-step explanation:

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Pearl uses 9.8 pints of blue paint and white paint to paint her bedroom walls. $\frac{2}{5}$ of this amount is blue paint, and the rest is white paint.

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3 years ago

4) Solve ∆ABC, a = 2.5 cm, c = 3.6 cm, and ∠A = 43°. Begin by sketching and labelling

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The length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.

<h3>How to determine the parameters</h3>

To determine the angles and length of sides, we use the sine rule

The sine rule is thus:

$\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}$

Given;

a = 2. 5cm

c = 3. 6cm

∠A = 43°

Let's find angle C

$\frac{sin 43}{2. 5} = \frac{sin C}{3. 6}$

cross multiply

0. 682 × 3. 6 = sin C × 2. 5

sin C = 2. 4552/ 2. 5

C = $sin^-^1(0. 982)$

C = 79°

To find length of b

$b= \sqrt{c^2 - a^2}$

substitute the values

$b = \sqrt{3.6^2 - 2. 5^2}$

$b = \sqrt{6. 71}$

b = 2. 59 cm

b = 3cm

To find angle B, we have

$\frac{sin 43}{2. 5} = \frac{sin B}{2. 59}$

cross multiply

0. 682 × 2. 59= sin B × 2. 5

sin B = 0. 7065

$B = sin^-^1(0. 7065)$

B = 45°

Hence, the length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.

Learn more about sine rule here:

brainly.com/question/12827625

#SPJ1

8 0

1 year ago