Answer:
f(g(x))=7(2x+8)-5=
14x+56-5=
14x+51
Step-by-step explanation:
Answer:
Answer:
The graph will be
2 units away from the origin on positive
and three units upward from the origin towards
.
Step-by-step explanation:
Here is a graph attached with it.
To graph
we know that positive
is a
shaped from the origin.
Key points:
- To move rightward there must be a negative inside the parentheses.
- And to move upward we must have positive
.
If we have to move towards
then we must have negative inside it.
And if we have to move upward in
positive we must have positive constant value.
So the graph will be three units upward and two units rightward with a V-shaped ray.
Answer:



Step-by-step explanation:
Represent:
- The opposite with a
- The adjacent with b
- The hypotenuse with c
Given that:


Required
Solve for a, b and c

So, we have:

Subtract 1 from both sides


Apply Pythagoras Theorem

Substitute 3 + 3b for a and 4 + 3b for c

Open brackets


Collect Like Terms


Expand

Factorize:


Split:


But the adjacent of a triangle can't have a negative measurement.
So:

Recall that:


Substitute 7 for b in the above expressions






Hence, the dimensions of the triangle are:



#2) Use quotient rule

Remember for solving log equations:

#3) Derivative of tan = sec^2 = 1/cos^2
Domain of tan is [-pi/2, pi/2], only consider x values in that domain.
#4 Use Quotient rule
#9 Use double angle identity for tan

This way you can rewrite tan(pi/2) in terms of tan(pi/4).
Next use L'hopitals rule, which says the limit of indeterminate form(0/0) equals limit of quotient of derivatives of top/bottom of fraction.
Take derivative of both top part and bottom part separately, then reevaluate the limit. <span />