If f(x) = x3, which graph represents g(x) = f(x) + 4?
1 answer:
Answer:
From the attached diagram, it is clear that:
- Red graph represents the function f(x) = x³
- Blue graph represents the function g(x) = x³+4
It is clear from the blue line graph, that when we add 4 units to the output of the parent function, it will be shifted 4 units up.
Step-by-step explanation:
Given the function
- f(x) = x³
The graph of the function f(x) is attached below.
We know that when we add the number, let say h, to the function output, it means the graph is shifted 'h' units up.
So, when we add 4 units to the graph f(x), it means the graph will be shifted 4 units up.
Therefore, the graph g(x) = f(x)+4 will be result of shifting 4 units up.
The diagram graph of both f(x) and g(x) is attached below.
From the attached diagram, it is clear that:
- Red graph represents the function f(x) = x³
- Blue graph represents the function g(x) = x³+4
It is clear from the blue line graph, that when we add 4 units to the output of the parent function, it will be shifted 4 units up.
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Answer:
Any value of x
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Step-by-step explanation:
Given
Required
What value of x is
Solving for f(g(x))
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Solving g(f(x))
Equate f(g(x)) and g(f(x))
<em>This implies that </em><em> at any value of x</em>