Can you draw a graph for me representing this equation : 7x – 400y = –1600
2 answers:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The trick to drawing a usable graph of this relation is to figure what values of x and y may be of interest. When there is no context for the graph, it is often useful to show the x- and y-intercepts. Each can be found by setting the other variable to 0.
x-intercept = -1600/7 = -228 4/7
y-intercept = -1600/-400 = 4
The slope is 7/400, so the graph is nearly flat when x- and y- axis scaling is the same.
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You can draw the graph yourself using any of the various graphing utilities available, either on the web or as apps for your computing platform. My favorite is the one I used here: Desmos. It is especially nice on a touch-screen, as you can manipulate the scaling easily with your fingers.
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Answer:
g⁻¹(x) = 2 + ∛x
Step-by-step explanation:
g(x) = (x - 2)³ Rename g(x) as y
y = (x - 2)³
Solve for x :
y = (x - 2)³ Multiply each side by 3
∛y = x - 2 Add 2 to each side
∛y + 2 = x
x = ∛y + 2 Switch x and y
y = ∛x + 2 Rename y as g inverse
g⁻¹(x) = 2 + ∛x
See the graphs of g(x) and g⁻¹(x) below.
g(x) is the red line. g⁻¹(x) is the blue line.
Each graph reflects the other about the dashed line representing the function y = x.
