Question

http://prntscr.com/6il22s
please help!

Answer 1

am i correct??

Answer 2

x= -1 is correct.

Answer 3

thank you

Answer 4

perl

Answer 5

was he right??

Answer 6

yeah

Answer 7

yeah its ^-4

Answer 8

but i dont understand the ) after the 4

Answer 9

$$
\Large g(x) = 4^{-x} = \frac{1}{4^x}

$$

Answer 10

no we have to solve for f(x) by substituing the ^-x with one of the other numbers on the side

Answer 11

$$

\Large{ g(x) = 4^{-x} = \frac{1}{4^x}
\\

g(-1 ) =4^{-(-1)} = 4^{1} = 4
}
$$

Answer 12

you can't really solve g(x) = f(x) algebraically . you can graph the two functions and find where they intersect.

Answer 13

hmm why won't logs work...

Answer 14

perl i think ur a bit too advanced xD

Answer 15

@domebotnos you can graph the two curves and find where they intersect
https://www.desmos.com/calculator/cif42p0ppp

Answer 16

perl perl perl calm down this is wayyy to advanced

Answer 17

this is like solving for the x so i have to replace the x for the t=number provided

Answer 18

$$
\Large{
f(x) = g(x) \\
3x+7 = 4^{-x}\\
\ln(3x+7) = \ln (4^{-x})\\
\ln(3x+7) = -x\cdot\ln (4)\\
\frac{\ln(3x+7)}{\ln 4} = -x


}

$$

this solution goes in circles.

Answer 19

PERL XD WHAT IS THAT

Answer 20

coconut asked why you cant used logs to solve f(x) = g(x)

Answer 21

what is logs???

Answer 22

there is a way to solve this using a special function called the Lambert function

Answer 23

give me one second let me show u

Answer 24

a log is the inverse of an exponential function.
but you don't need to use logs here. if you fill out the table values, find the x value where the y values are equal

Answer 25

http://prntscr.com/6il63d

Answer 26

yeah that what i mean

Answer 27

this is the longest graph perl :p thank you !

Answer 28

$$\Large{
\begin{array}{|c|c|}
\hline
x & \text{f(x)=3x+7} & \text{g(x)}=4^{-x} \\
\hline
-2 & 1& 16 \\
\hline
-1 & 4 & 4 \\
\hline
0 & 7 & 1 \\
\hline 1&10 & \frac{1}{4}\\
\hline 2&13&\frac{1}{16}\\
\hline
\end{array}
}

$$

Answer 29

ok then i was right! ok thank you soooooooooooooooooooooooo much perl!!!!

Answer 30

$$
\LARGE \color{blue}{Your~ welcome} $$