The functions f and g are defined by:
f:x 3x-2
g:x 2x+5
Evaluate:g(-6), fg(3)
g(-6)= 2(-6)+5= -7
fg(3)= 3(2x+5)-2
6x+15-2
6(3)+13 = 31
Evaluate f(x)=8, calculate the value of x
Your "last part" is to determine the value of x when
f(x) = 3x -2 = 8
Just solve that last equation for x.
The answer is
x = 10/3
To calculate the value of x when f(x) equals 8, we need to solve the equation f(x) = 8.
Given that f(x) = 3x - 2, we substitute f(x) with 8:
8 = 3x - 2
Now we can solve for x:
8 + 2 = 3x
10 = 3x
Divide both sides of the equation by 3:
10/3 = x
So the value of x when f(x) = 8 is x = 10/3.
To calculate the value of x for f(x) = 8, we can substitute 8 into the expression for f(x) and solve for x.
The given expression for f(x) is f(x) = 3x - 2.
Substituting 8 into this expression: 3(8) - 2 = 24 - 2 = 22.
So, when f(x) = 8, the value of x is 22.