(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
The digit in the ten millions place of a number that is less than 55,000,000 but greater than 25,000,000 can be 3 or 4.
25,000,000 < <u>3</u>5,000,000 < 55,000,000
25,000,000 < <u>4</u>5,000,000 < 55,000,000
Hello,
y=-k(x+2)(x-1/2)(x-3) where k is a real positive.
We may chose k=1
There are an infinite solutions.
Answer:
it is the abstract science of number, quantity and space, either as abstract concept