composite function | MathCelebrity Forum

composite function

  1. math_celebrity

    Let f(x)=5x and g(x)=2x + 1; find and simplify the following f(g(x))

    Let f(x)=5x and g(x)=2x + 1; find and simplify the following f(g(x)) f(g(x)) = 5(g(x)) f(g(x)) = 5(2x + 1) f(g(x)) = 10x + 5
  2. math_celebrity

    Let f(x) = x - 2 and g(x) = x^2 + 7x - 3. Find f(g(-1)).

    Let f(x) = x - 2 and g(x) = x^2 + 7x - 3. Find f(g(-1)). g(-1) = -1^2 + 7(-1) - 3 g(-1) = 1 - 7 - 3 g(-1) = -9 f(-9) = -9 - 2 f(-9) = -11
  3. math_celebrity

    If f(x) = 3 - 2x and g(x) = 1/x + 5 what is the value of (f/g)(8)?

    If f(x) = 3 - 2x and g(x) = 1/x + 5 what is the value of (f/g)(8)? Set up (f/g)(x) (3 - 2x)/(1/x + 5) Now find (f/g)(8) (3 - 2(8))/(1/8+ 5) (3 - 16)/(5.125) -13/5.125 2.5366
  4. math_celebrity

    If f(x) = 3x + 1 and g(x) = x^2 + 2x, find x when f(g(x)) = 10

    If f(x) = 3x + 1 and g(x) = x^2 + 2x, find x when f(g(x)) = 10 Evaluate f(g(x)) f(g(x)) = 3(x^2 + 2x) + 1 f(g(x)) = 3x^2 + 6x + 1 When f(g(x)) = 10, we have 10 = 3x^2 + 6x + 1 Subtract 10 from each side: 3x^2 + 6x - 9 = 0 Divide each side of the equation by 3 x^2 + 2x - 3 = 0 Factor, we...
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