Consider the linear equation y=4x-7 find the value of y that makes the given ordered pair a solution to the equation (3, y) Y=
1 answer:
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Solution for f(g(5)):
The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:
Step 1: Plugging 5 to g(x)
Step 2: Plugging the answer to f(x)
ANSWER: f(g(5)) is equal to 3.
Domain:
For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.
However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.
ANSWER: The domain of the function is all real numbers.
- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
- Slope Formula:
So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:
Next, plug either one of the points into the x and y coordinates to solve for b as such:
<u>Our final equation is , or the third option.</u>