SOLUTION: Question 372260: Suppose that the functions g and h are defined for all real numbers x as follows. g(x)=x-4 h(x)=4x+2 Write the expression for (g-h)(x) and (g*h)(x) and evalua

Algebra ->  Functions -> SOLUTION: Question 372260: Suppose that the functions g and h are defined for all real numbers x as follows. g(x)=x-4 h(x)=4x+2 Write the expression for (g-h)(x) and (g*h)(x) and evalua      Log On


   

Question 372483: Question 372260: Suppose that the functions g and h are defined for all real numbers x as follows.
g(x)=x-4
h(x)=4x+2
Write the expression for (g-h)(x) and (g*h)(x) and evaluate (g+h)(-2)
Below are my answers but I'm not sure if I got it right. Thanks
(g-h)(x)= 8
(g*h)(x)=52
(g+h)(-2)= -12

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
g%28-2%29%2Bh%28-2%29=+-12 is correct.
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The first two answers should both be functions of x and not actual values.
g%28x%29=x-4
h%28x%29=4x%2B2

g%28x%29-h%28x%29=-3x-6
highlight%28g%28x%29-h%28x%29=-3%28x%2B2%29%29
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g%28x%29h%28x%29=%28x-4%29%284x%2B2%29
g%28x%29h%28x%29=4x%5E2%2B2x-16x-8
highlight%28g%28x%29h%28x%29=4x%5E2-14x-8%29