The graph of g(x) is the graph of f(x)=x+9 reflected across the y-axis.
2 answers:
Answer:
g(x) = -x +9
Step-by-step explanation:
Reflecting across the y-axis involves changing the sign of x, so the reflection of f(x) is ...
... g(x) = f(-x) = (-x) +9
The appropriate choice is ...
... g(x) = -x+9
<h2>Answer:</h2>
The equation which describes the function g is:
The graph of the function f(x) is given by:
Now, we know that the transformation of the function f(x) when the graph is shifted across the y-axis then it is given by:
f(x) → f(-x)
This means that:
g(x)=f(-x)
i.e.
g(x)= -x+9
Hence, the equation which will represent the graph of the function g(x) is given by:
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Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)