# Answer to Question #33501 in Algebra for Daryl Ligutan

Question #33501

Graph the Given Function and its inverse. f(x)

3. three-fourth x + 4= y

3. three-fourth x + 4= y

Expert's answer

3/4 x+4=y it's a straight line

To graph it we need two distinct points of it. We can pick arbitrary values of x, say x=0 and x=4:

y(0)=4

y(4)=3/4*4+4=7

So we have two points (0,4) and (4,7). Connecting them we get desired graph.

To find inverse we should solve given equation for x:

3/4x+4=y

3/4x=y-4

x=4/3(y-4)=4/3y-16/3

It's also a straight line. We can find its graph similarly.

To get more info about straight lines watch our video:

To graph it we need two distinct points of it. We can pick arbitrary values of x, say x=0 and x=4:

y(0)=4

y(4)=3/4*4+4=7

So we have two points (0,4) and (4,7). Connecting them we get desired graph.

To find inverse we should solve given equation for x:

3/4x+4=y

3/4x=y-4

x=4/3(y-4)=4/3y-16/3

It's also a straight line. We can find its graph similarly.

To get more info about straight lines watch our video:

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