(f∘g)(x) is equivalent to f(g(x)). We solve this problem just as we solve f(x). But since it asks us to find out f(g(x)), in f(x), each time we encounter x, we replace it with g(x).
In the above problem, f(x)=x+3.
Therefore, f(g(x))=g(x)+3.
⇒(f∘g)(x)=2x−7+3
⇒(f∘g)(x)=2x−4
Basically, write the g(x) equation where you see the x in the f(x) equation.
f∘g(x)=(g(x))+3 Replace g(x) with the equation
f∘g(x)=(2x−7)+3
f∘g(x)=2x−7+3 we just took away the parentheses
f∘g(x)=2x−4 Because the −7+3=4
This is it
g∘f(x) would be the other way around
g∘f(x)=2(x+3)−7
now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them.
g∘f(x)=2x+6−7
Next, +6−7=−1
g∘f(x)=2x−1
Its a lts easier than you think!
Hope this helped
Answer:
a) (2,4)
Step-by-step explanation:
it's where the points meet
ANSWER:
(IMAGE ATTACHED)
EXPLANATION:
This equation is called a slope intercept form. The formula is y=mx+b.
"b" or -4 in this case is the y-intercept. It's where the line meets the y line (vertical line). The "m" or 2/3 is the slope. All slopes are written in y/x.
So, starting from (0, -4), you will go up 2 and go right 3. You will end up at (3, -2). Now, just draw a line through (0, -4) and (3, -2).
Your graph should show up like this:
Answer:
11/238
Step-by-step explanation:
Hope this helps!
Answer:
15.0cm this can be wrong answer but i think this is right
