Question

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

Answer 1

Choice d is correct.

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) .

Answer 2

d) x = 4

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.