The functuion of g(x)= 2x-3 is compressed horizontally to form f(x). which of the following could be the equation of f(x) ?

a. f(x)=1/3x-1
b. f(x)=x+12
c. f(x)=-2x+1
d. f(x)=4x-3

Please see attached graph for further understading of the solution.

To easily solve this problem, we can graph each of the functions and compare them to the original one.

g(x)= 2x-3

An horizontal compression implies a greater slope for the line. This means that the graph of f(x), must reach higher values faster.

Based on the image, the answer is option D

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step-by-step explanation:

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answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: