If f(x)=1/x and g(x) = x+4, which of the following is the graph of (gf)(x)?
1 answer:
The graph of the function 1 + 4/x is attached below.
<h3>What is a graph?</h3>A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
Given;
If f(x ) = 1/x and g(x) = x+4
then,
(gf)(x)
= 1/x (x + 4)
= 1 + 4/x
The graph of the function 1 + 4/x is attached below.
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(0.5, 1.3) is the correct answer
Step-by-step explanation:
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3)
Hence,
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables
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