SOLUTION: so I am very confused on where to even start on this problem.. please help lol !! if f(x)=5x and g(x)=2x-7 what is fog (x)?

Algebra ->  Functions -> SOLUTION: so I am very confused on where to even start on this problem.. please help lol !! if f(x)=5x and g(x)=2x-7 what is fog (x)?      Log On


   



Question 927941: so I am very confused on where to even start on this problem.. please help lol !! if f(x)=5x and g(x)=2x-7 what is fog (x)?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
fog(x) means f(g(x)). The "o" in better notation would be a smaller sized "o" written at mid-level between the f and the g. The variable just means use g(x) as the input for f(x), and simplify the resulting expression.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

so I am very confused on where to even start on this problem.. please help lol !! if f(x)=5x and g(x)=2x-7 what is fog (x)?

fog(x) means f of g(x), of f(g(x)), and since g(x) = 2x - 7, then f(g(x))) = f(2x - 7)
f(x) = 5x, so
f(2x - 7) = 5(2x - 7)
Therefore, f(2x - 7), or highlight_green%28f%28g%28x%29%29+=+10x+-+35%29%29