Question

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

Answer 1

Explanation

GIVEN;

F(x)=3x-1

g(x)2x-3

g(x)=f(2)

we replace the X in f(x) with 2

so

Answer;

2x-3=3(2)-1

2x-3=6-1

2x=5+3

2x=8

x=8÷2

x=4

Answer 2

The g(x)=f(2) when the value of x is 4

Given :

$f(x)=3x-1\\g(x)=2x-3$

we are given with two functions. we need to find out the value of x  where

$g(x)= f(2)$

Lets find out f(2) by substituting 2 for x in f(2)

$f(x)=3x-1\\f(2)=3(2)-1\\f(2)=5$

Now we find out x  when g(x) =f(2)

$g(x)=f(2)\\2x-3=5\\2x=5+3\\2x=8\\x=\frac{8}{2} \\x=4$

The g(x)=f(2) when the value of x is 4

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