Use the functions f(x) and g(x) to answer the question.
F(x)=4x-5 ; g(x)= +3
Which expression is equal to (gof)(x)
4x+7
5x-2
4x-2
4x+12
Im not sure how to do this??
It appears that g(x) is constant, so it does not matter what f is.
Fix the typo. Then just substitute f(x) for x in the definition of g.
(g◦f)(x) = g(f(x))
That is, if g(x) = x+3,
(g◦f)(x) = g(f) = f+3 = 4x-5+3 = 4x-2
Thank you! I have to write that down for a example. I have others to do :)
Im trying to get it
Which expression is equal to (fog)(x)?
f(x)=3x-2 ; g(x)=x-4
I got 3x+6 ...
But thats not a answer chioicd the answer choicd close to it 3x-6
and the other options are
3x-14
3x^3+8
4x-6
To find the expression for (gof)(x), we need to substitute g(x) into the function f(x).
In other words, replace the variable x in f(x) with g(x).
Given:
f(x) = 4x - 5
g(x) = 3
Substituting g(x) into f(x) gives us:
f(g(x)) = 4(g(x)) - 5
Since g(x) is equal to 3, we substitute 3 into the expression:
f(g(x)) = 4(3) - 5
Simplifying the expression gives us:
f(g(x)) = 12 - 5
f(g(x)) = 7
So, the expression for (gof)(x) is 7.
Now, let's check which of the given options matches our result:
- 4x + 7 does not match
- 5x - 2 does not match
- 4x - 2 does not match
- 4x + 12 does not match
Therefore, none of the given options are equal to (gof)(x), which is 7 for this specific case.
Remember, for a different function g(x), the result may be different.