Answer:
-59
Step-by-step explanation:
f(x) = -2x - 7 and g(x) = -4x + 6.
f(g(x)) =
Replace x in the function f(x) with g(x)
= -2(-4x+6) -7
= 8x -12 -7
= 8x - 19
Let x = -5
f(g(-5) = 8(-5) -19
= -40 -19
= -59
Answer:
Answer is in a photo.
Step-by-splanation:
I'm assuming you need to find the equation of that line. If that's not what you need, you can stop here, because that's what I'm going to calculate.
When we're working with the equation of a line, we know it's easy to work with if it's in the form of a "slope / intercept" equation.
That's Y = (slope) · x + (y-axis intercept)
We already know the slope of this line, because the question gave it to us. The slope is ' 8 ' . So we know the equation will be Y = 8x + (y-intercept) .
OK. We also know a point on the line ... (4, 3).
That tells us: When x=4 on this line, y=3 .
Take the equation, and put this point into it.
Y = 8x + (y-intercept)
(3) = 8(4) + y-intercept
3 = 32 + y-intercept
Subtract 32 from each side:
-29 = y-intercept
So the equation of the line is: <em>Y = 8x - 29</em>
Answer: (15 + x) /2
Step-by-step explanation:
should look something like this
a) Increasing function.
b) The growth factor is 4.
c) The asymptote is y tending to zero as x tends to negative infinity.
d) y = 1
c) The graph can be seen at the end.
<h3>
What conclusions can we get about the given function?</h3>
Here we are given the following exponential function:
y =f(x) = 4^x
a) First, we want to know if the function is increasing or decreasing. Remember that a function is increasing if, as x increses, also does the value of y.
Here clearly we have an increasing function.
- f(0) = 4^0 = 1
- f(1) = 4^1 = 4
- f(2) = 4^2 = 16
and so on...
b) Now we want to identify the growth factor. This is the number that is being exponentiated, so in:
y = 4^x
The growth factor is 4.
c) We have an asymptote as x tends to negative infinity, because we will eventually have denominator that tends to infinity, then we will have an asymptote that tends to zero, as x tends to negative infinity.
d) The y-intercept is what we get when we evaluate in x = 0, we have:
y = f(0) = 4^0 = 1
The y-intercept is y = 1.
e) The sketch of the exponential function can be seen in the image below.
If you want to learn more about exponential functions:
brainly.com/question/11464095
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