If f(x)=-3x+5 and g(x)=9x-2, what is the slope of the graph of the function (f-g)(x)?
f-g = -3 x +irrelevant - 9 x - irrelevant
= -12 x + b
slope = m = -12
Now you knew these last two perfectly well. Give your answer and let us just check.
To find the slope of the graph of the function (f - g)(x), we need to find the expression for (f - g)(x) first. The function (f - g)(x) represents the subtraction of the two functions f(x) and g(x).
Given that f(x) = -3x + 5 and g(x) = 9x - 2, we can substitute these expressions into the function (f - g)(x):
(f - g)(x) = f(x) - g(x)
= (-3x + 5) - (9x - 2)
Next, simplify the expression:
(f - g)(x) = -3x + 5 - 9x + 2
= -12x + 7
Now that we have the expression for (f - g)(x), we can see that the coefficient of x is -12. The coefficient of x represents the slope of the graph.
Therefore, the slope of the graph of the function (f - g)(x) is -12.