if fog(x)=6x-5 and f(x)=3x-1 find g(x)
Answers
Answer:
Step-by-step explanation:
Given that :-
f(x) = 3 x - 2
This is called a polynomial function .
Here f(x) is a function and x is a variable which determines the function's value .
fog(x) = 6 x - 2
This can also be written as :-
f(g(x)) = 6 x - 2
⇒ f(g(x)) = 3(2x) - 2
Hence g(x) must be 2x since f(x) = 3 x - 2
Alternative method exist .
We can take another variable for example : y in order to find g(x)
f(x) = 3 x - 2
f(g(x)) = 6 x - 2
⇒ f(y) = 6 x - 2
⇒ 3 y - 2 = 6 x - 2
⇒ 3 y = 6 x
⇒ y = 6 x/3
⇒ y = 2 x
Hence the value of g(x) will be 2 x .
MORE INFO :-
→ A polynomial function f(x) changes as soon as the value of x changes .
→ We need to determine the equation of f(x) in order to find the change .
→ For example given is f(x) = 3 x - 2 . So the value of x if 1 will result in the value of f(x) to be 3-2 = 1
→ If the value of x is 2 : 3(2) - 2 = 6 - 2 = 4 will be the value of the function.
→ Hence we can say that the above function is dependent on the variable x .
Step-by-step explanation:
Mark me as brainliest answer
Answer:
hope its help ful to you
Step-by-step explanation:
please mark me as brain list
