If f(x)=3-2x and g(x)= 1/x+5, what is the value of (f/g)(8)

Answers

f(x)=3-2x
f(8)=3-2(8) = 3 -16 = -13

g(x)=1/x+5
g(8)=1/8+5 = 1/8 + 40/8 = 41/8

[f/g](8) = -13  / (41/8) = -13 * (8/41) = -104/41 = -2 22/41

Step-by-step explanation:

(f/g) = (3 - 2x ) / (1/x + 5) You could go to the trouble to simplify all of this, but the easiest way is to just put in the 8 where you see an x

(f/g)8 = (3 - 2*8) / (1/8 + 5)

(f/g)/8 = (3 - 16 / (5 1/8)          1/8 = 0.125

(f/g) 8 = - 13 / ( 5.125)

(f/g)8 = - 2.54

Answer is - 13

Step-by-step explanation:

f(x) = 3-2x = 2x - 3

g(x) = 1x + 5 =0

1x = - 5

x = - 5/1

= 2x - 3

= 2 (-5/1) - 3

= - 10/1 - 3/1

= - 10 - 3 / 1

= - 13 ans

(f/g)(8)=f(8)/g(8)

find f(8) and g(8) to mke it easier

f(8)=3-(8)=3-2(8)=3-16=-13

g(8)=1/(5+8)=1/13

so (f/g)(8)=-13/(1/13)=-13*13=-169

answer is -169

-169

Step-by-step explanation:

Given functions : f(x)=3-2x\text{ and }g(x)=\dfrac{1}{x+5}

Now, the rational function (f/g) will be:

(f/g)(x)=\dfrac{f(x)}{g(x)}\\\\\\\Rightarrow\ (f/g)(x)=\dfrac{3-2x}{\dfrac{1}{x+5}}\\\\\\\Rightarrow\ (f/g)(x)=(3-2x)(x+5)

Now, (f/g)(8)=(3-2(8))((8)+5)=(-13)(13)=-169

Hence, the value of (f/g)(8)=-169

-169

Step-by-step explanation:

Given functions : f(x)=3-2x\text{ and }g(x)=\dfrac{1}{x+5}

Now, the rational function (f/g) will be:

(f/g)(x)=\dfrac{f(x)}{g(x)}\\\\\\\Rightarrow\ (f/g)(x)=\dfrac{3-2x}{\dfrac{1}{x+5}}\\\\\\\Rightarrow\ (f/g)(x)=(3-2x)(x+5)

Now, (f/g)(8)=(3-2(8))((8)+5)=(-13)(13)=-169

Hence, the value of (f/g)(8)=-169

-169


step by step

=3-2x/1/x+5

(f/g)(8)=-13/1/13=-13/1*13/1=-169

(\frac{f}{g})(x)=\frac{f(x)}{g(x)}

so
(\frac{f}{g})(8)=\frac{f(8)}{g(8)}

find f(8) and g(8)

f(8)=3-2(8)=3-16=-13
g(8)=\frac{1}{8+5}=\frac{1}{13}

so
\frac{f(8)}{g(8)}=\frac{-13}{\frac{1}{13}}=(-13)(13)=-169

(\frac{f}{g})(8)=-169

\large\boxed{\left(\dfrac{f}{g}\right)(8)=-169}

Step-by-step explanation:

\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\f(x)=3-2x,\ g(x)=\dfrac{1}{x+5}\\\\\text{Substitute:}\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{3-2x}{\frac{1}{x+5}}=(3-2x)\left(\dfrac{x+5}{1}\right)=(3-2x)(x+5)\\\\\left(\dfrac{f}{g}\right)(8)\to\text{put x = 8 to the equation of a function}\ \left(\dfrac{f}{g}\right)(x):\\\\\left(\dfrac{f}{g}\right)(8)=(3-2\cdot8)(8+5)=(3-16)(13)=(-13)(13)=-169



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