Let f(x)=-4x+7 and g(x)=10x-6. Find f(g(x))
1 answer:
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Answer:
Step-by-step explanation:
We'll take this step by step. The equation is
Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:
The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:
Let's rewrite that radical into exponential form:
If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:
On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:
Let's group that radicad into groups of 3's now to make the simplifying easier:
because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:
which is the same as:
Answer:
Step-by-step explanation:
The average rate of change can be found by using the following formula
Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.
By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.
Now that we know this, we can simply plug these values into the formula!
Good luck!