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AlekseyPX
3 years ago
7

1. Given the functions f(x)=3x-4 and g(x)=4x+10, find the value of x for which f(x) = g(x)

Mathematics
2 answers:
wolverine [178]3 years ago
7 0

Answer:

-14

Step-by-step explanation:

It's multiple choice so we could plug in values of x and see which makes f(x)=g(x) true.

What I mean is would could plug in values of x to see which gives us

3x-4=4x+10 is true.

Or we could just solve it.

3x-4=4x+10

Subtract 3x on both sides:

-4=1x+10

-4=x+10

Subtract 10 on both sides:

-14=x

So x=-14 would make f(x)=g(x) hold.

Let's check it and see!

f(-14)=3(-14)-4=-42-4=-46.

g(-14)=4(-14)+10=-56+10=-46.

They have the same value of -46 so x=-14 is certainly going to make f(x)=g(x) be true.

Anika [276]3 years ago
5 0

Answer:

answer is D

Step-by-step explanation:

3x-4=4x+10

3x=4x+14

-1x=14

x= -14

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remember
ln(a^b)=bln(a)
ln(e)=1
so
ln(e^x)=xln(e)=x


1+2e^{x+1}=9
minus \space\ 1 \space\ both \space\ sides
2e^{x+1}=8
divide \space\ both \space\ sides \space\ by \space\ 2
e^{x+1}=4
take \space\ ln \space\ of \space\ both \space\ sides
ln(e^{x+1})=ln(4)
(x+1)ln(e)=ln(4)
x+1=ln(4)
minus \space\ 1 \space\ from \space\ both \space\ sides
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answer \space\ is \space\ C=ln(4)-1
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