Given f(x) = 4x − 6 and g(x) = f(2x),
write an equation for g.

g(x) = _______________________

Answer:

1 and 1/3

Step-by-step explanation:

Fx equals 4x-6

Add six to both sides

6 equals 4X

Divide both sides by 4

2/3 equals x

Then GX equals f (2x)

Two times 2/3 is 1 and 1/3

The value of g(x) when f(x) = 4x − 6 and g(x) = f(2x) will be; 1/3

Function is a type of relation, or rule, that maps one input to specific single output.

We have been given that  f(x) = 4x − 6 and g(x) = f(2x), then;

We have to Add six to both sides;

f(x) = 4x − 6

6 = 4X

Now Divide both sides by 4;

2/3 =  x

Then G(X ) is equals to f (2x)

Now, 2( 2/3 ) =  1 /3

The value of g(x) when f(x) = 4x − 6 and g(x) = f(2x) will be; 1/3

Learn more about function here:

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