If f(x) = 3x and g(x)=2x, what is (g o f)(x)? 5x 5x2 6x 6x2
1 answer:
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First let's try to find the equation in this form : <span>y = mx + c
The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.
So equation of a line with the gradient of 3, would look like this ;
</span>
<span>
Now a point that the line passes through is given, (1, 2)
This point's x-coordinate is 1 and y-coordinate is 2.
So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.
As you know, </span>
and 
We found c = -1
Also in a line's equation, c is constant and it represents the line's y-intercept
So let's build the line's equation.
and 
We found the line's equation in this form,
Now let's turn it into this form,
Final answers,
and
I hope this was clear enough :)
<span>
</span>
The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.
So equation of a line with the gradient of 3, would look like this ;
</span>
<span>
Now a point that the line passes through is given, (1, 2)
This point's x-coordinate is 1 and y-coordinate is 2.
So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.
As you know, </span>
We found c = -1
Also in a line's equation, c is constant and it represents the line's y-intercept
So let's build the line's equation.
We found the line's equation in this form,
Now let's turn it into this form,
Final answers,
and
I hope this was clear enough :)
<span>
</span>
Answer:
Step-by-step explanation:
Given:
The equation of the known line is:
A point on the unknown line is (-4, 4)
Now, since the two lines are parallel, their slopes must be equal.
Now, slope of the known line is the coefficient of 'x' which is .
Therefore, the slope of the unknown line is also
Now, for a line with slope 'm' and a point on it is given as:
Here, . Therefore,
Hence, the equation of the unknown line is .