The composite functions of higher math often use h(x) and g(x), in combination,,defining which comes first, and which is second. The substitution is bad enough, but using y's would make it worse.. In summary, feel free to immediately use "y =" instead of "h(x)", if it clarified the problem.

since g(x) = x^2 + 3, you get: f(g(x)) = sqrt(x^2 + 3) + 8 when x = 3, you get: f(g(x)) = sqrt(3^2 + 3) + 8 = 11.46410162 this is equivalent to finding g(x) first and then finding f(g(x)). g(x) = x^2 + 3. when x = 3, g(x) = 3^2 + 3 = 12. f(g(x)) becomes f(12) = sqrt(12) + 8 = 11.46410162. f(x) and g(x) are repeated here to make them easier to ...

Question 1086571: Use the graph of the function f, plotted with a solid line, to sketch the graph of the given function g.

Question 968648: Consider the functions f(x) = 2x + 25, g(x) = x2 + 5, and h(x) = 5x. At what integer value of x does the quadratic function, g(x), begin to exceed the linear function, f(x)?

Question 1168373: Let f(x)= 3|x| If g(x)is the graph of f(x) shifted right 4 units, write a formula for g(x)

You can put this solution on YOUR website! For the given functions f and g , find the indicated composition. f(x) = 4x + 12, g(x) = 4x - 1

Question 1128844: The function f(x)=3^x is often referred to as the "tripling function" because f(x)triples whenever x changes by 1. Give two more distinct examples of tripling functions (functions whose outputs triple whenever the input changes by 1).

The function g is related to one of the parent functions g(x) = x^2 + 6 The parent function f is: f(x)= x^2 Use function notation to write g in terms of f. Algebra -> Coordinate Systems and Linear Equations -> SOLUTION: 1.)

You can put this solution on YOUR website! I think one is a composition where you substitute for . The other is an actual multiplication of two functions.

f(x) - g(x) = x^2 + kx - x - k = x^2 + (k-1)x - k. The discriminant is d = " b^2 - 4ac " = (k-1)^2 - 4*1*(-k) = k^2 - 2k + 1 + 4k = k^2 + 2k + 1 = (k+1)^2. The function f(x) - g(x) has two distinct real roots if and only if the discriminant is positive. It is true if and only if k =/= -1. ANSWER. The graphs f and g intersect at two distinct ...