Given f(x)= 3x-1 and g(x)= 2x-3 , for which value of x does g(x)=f(2)

Answer:
d) x = 4
Step-by-step explanation:
Given: f(x) = 3x -1 and g(x) = 2x - 3
g(x) = f(2)
Now plug in x = 2 in f(x) = 3x - 1
2x - 3 = 3(2) - 1
2x - 3 = 6 - 1
2x - 3 = 5
Now add 3 on both sides, we get
2x - 3 + 3 = 5 + 3
2x = 8
Dividing both sides, we get
x = 8/2
x = 4
Therefore, when x = 4, g(x) = f(2)
Answer, d) x = 4
Hope this will helpful to understand the concept.
Thank you.
Answer:
Choice d is correct.
Step-by-step explanation:
We have given two functions:
f(x)= 3x-1
g(x)= 2x-3
We have to find the value of x g(x)=f(2) for which equality hold.
Now putting x= 2 in f(x)= 3x-1 we get,
f(2) = 3(2) - 1
f(2) = 6 -1
f(2) = 5
To find the value of x g(x)=f(2):
2x-3 = 5
Adding 3 on both sides of equation we get,
2x-3+3 = 5+3
2x = 8
dividing 2 on both sides we get,
2/2 x = 8/2
x = 4
So, x = 4 is the value of x for which g(x)=f(2) .