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Nesterboy [21]
3 years ago
15

If f(x) = 7 + 4x and g(x)=1/2x, what is the value of (f/g)(5)?

Mathematics
2 answers:
Anestetic [448]3 years ago
8 0
f(x)=7+4x;\ g(x)=\dfrac{1}{2}x\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}=\dfrac{7+4x}{\frac{1}{2}x}=\dfrac{2(7+4x)}{x}=\dfrac{14+8x}{x}\\\\\left(\dfrac{f}{g}\right)(5)=\dfrac{f(5)}{g(5)}=\dfrac{14+8\cdot5}{5}=\dfrac{14+40}{5}=\dfrac{54}{5}=10.8
baherus [9]3 years ago
8 0

Answer:

\frac{54}{5}

Step-by-step explanation:

The meaning of \left ( \frac{f}{g}\right)(5) is \frac{f(5)}{g(5)}. So we must find f(5) and g(5) and then make the quocient.

You have f(x)=7+4x and therfore you have to change x by 5 to obtain f(5):

f(5)=7+4(5)=7+20=27

Do the same for g(5) with g(x)=\frac{1}{2}x

g(5)=\frac{1}{2}(5)=\frac{5}{2}

Finally we have

\left(\frac{f}{g} \right)(5)=\frac{f(5)}{g(5)}=\frac{27}{\frac{5}{2}}=\frac{54}{5}

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