Answer: y = 3/2x + 1
Step-by-step explanation: For a perpendicular line, take the reciprocal of "m" and reverse the sign.
- 2/3 becomes +3/2
Then substitute the y and x values of the given coordinate into the equation and solve for "b"
y = mx + b
-2 = 3/2(-2) + b
-2 = -3 + b
-2 +3 = b
+1 = b Substitute for b in y = (3/2)x + 1
The answer to Q1 along with an explanation is shown in the picture;
Having a look at all the questions, they are all essentially the same type so can all be solved similarly;
So by following the method and explanation, you should be able to do the rest of the questions.
Answer:

Step-by-step explanation:
So we have the two functions:

And we want to find f(g(1)).
So, let's find g(1) first:

Substitute 1 for x:

Simplify:

Add:

So:

Now, substitute 2 for x in f(x):

Multiply:

Add:

So:

Answer: The histogram is not symmetrical