SOLUTION: If h is the function given by h(x)= f(g(x)) where f(x)= 3x^2 -1 and g(x)= the absolute value of x, then h(x)= ?
a. 3x^3 - (square root of x)
b. square root of (3x^2 -1)
c. 3x^
Algebra.Com
Question 778442: If h is the function given by h(x)= f(g(x)) where f(x)= 3x^2 -1 and g(x)= the absolute value of x, then h(x)= ?
a. 3x^3 - (square root of x)
b. square root of (3x^2 -1)
c. 3x^2 (square root of x) -1
d. 3 (square root of x)-1
e. 3x^2 -1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If h is the function given by h(x)= f(g(x)) where f(x)= 3x^2 -1 and g(x)= the absolute value of x, then h(x)= ?
------
h(x) = f(g(x)) = f(|x|) = 3|x|^2-1|= 3x^2-1
==========================================
Cheers,
Stan H.
=====================
a. 3x^3 - (square root of x)
b. square root of (3x^2 -1)
c. 3x^2 (square root of x) -1
d. 3 (square root of x)-1
e. 3x^2 -1
RELATED QUESTIONS
Find the value of g(f(h(-2))) given f(x)=3x-1, g(x)=-3x^2 and h(x)=absolute... (answered by Fombitz)
Given that f(x)=x-2, g(x)= -3x^2 +15x-1, and h(x)= square root x-4, find the following... (answered by satyareddy22)
Match the corresponding function formula with each function when h(x) = 3x + 2 and g(x) = (answered by stanbon)
Given the following function h(x), h(x) =(3x – 1)^4 find two functions f and g so that (answered by stanbon)
given the functions {{{f(x) = x+1}}} and {{{g(x) = x^2+3x+1}}}, determine a simplified... (answered by filboi)
Given the function f(x)=3x²-4x=2, g(x)=x+13, and h(x)=√x-3, perform the indicated... (answered by Alan3354)
Page 367 Evaluate each of the following quadratic functions for the given
value of x.... (answered by Alan3354)
Find functions f and g so that the composition of f and g is H.
H(x) = |4 - 3x^2|... (answered by josgarithmetic)
given the functions f(x)=x^2+3x+2 and g(x)=x+1, determine a simplified equation for... (answered by ikleyn)