Suppose that the functions s and t are defined for all real numbers x as follows....

Question

Question

Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=x-6 t(x)= 3x2 Write the expressions fo

Suppose that the functions s and t are defined for all real numbers x as follows.

s(x)=x-6

t(x)= 3x²

Write the expressions for (s – t)(x) and (s·t)(x) and evaluate (s+t)(-3).

(s – t)(x) = _______

(s·t)(x) = _______

(s + t)(-3) = _______

math algebra

Answer 1

✔ Recommended Answer

Answer #1

(s-t)(x) = (x-6) - 3x²

(s*t)(x) = (x-6)*3x² = 3x³ - 18x²

(s+t)(x) = (x-6) - 3x²

(s+t)(-3) = (-3-6) - 3(-3)² = -9 -27 = -36

Answer 2

Similar Homework Help Questions

Suppose that the functions s and t are defined for all real numbers x as follows....

Suppose that the functions s and t are defined for all real numbers x as follows. (r)-5r t(r) 3x-2 Write the expressions for (+s)(x) and (-)) and evaluate (t s)X-2). +3)-0 ts(x) s)(x) = (rs)(-2)D
Suppose that the functions f and g are defined for all real numbers x as follows....

Suppose that the functions f and g are defined for all real numbers x as follows. f(x) = 4x+6 g(x) = x+3 Write the expressions for (g.f)(x) and (g+f)(x) and evaluate (8-8)(3). (9•f)(x) = 1 (+5)(x) = 0 (3-1)(3) = 0 xo?
Suppose that the functions f and g are defined for all real numbers x as follows....

Suppose that the functions f and g are defined for all real numbers x as follows. f(x) = 4x +1 g(x) = 5x Write the expressions for (f.g)(x) and (f+g)(x) and evaluate (f-g)(-1). (fºg)(x) = 0 (f+8)(x) (6-8)(-1) = 0 o X ?

Suppose that the functions g and h are defined for all real numbers x as follows....

Suppose that the functions g and h are defined for all real numbers x as follows. g(x)= 3x - 3 h (x)=x-2 Write the expressions for (g+h)(x) and (g:h)(x) and evaluate (g-h)(-1). (8 + n)(x) = 1 (8-2)(x) = 0 (8 - k) (-1) = 0 Х 5 ? Explanation Check 2020 McGraw-Hill Education
Suppose that the function f is defined, for all real numbers, as follows. f(x) = x-2...

Suppose that the function f is defined, for all real numbers, as follows. f(x) = x-2 ifx#2 4 if x=2 Find f(-3), f(2), and f(5). s(-3) = 0 s(2) = 0 r(s) = 1 Suppose that the function g is defined, for all real numbers, as follows. if x -2 8(x)= 1-4 if x=-2 Find g(-5), g(-2), and g(4). $(-5) = 0 DO s(-2) = 1 8(4) = 1
OGRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions g and...

OGRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 4x+3 h(x)=x+6 Write the expressions for (h-g)(x) and (h+g)(x) and evaluate (h.g)(3). X (1 + 3)(x) = 1 (h.:)) = 0

O GRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions,fand g...

O GRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions,fand g are defined for all real numbers r as follows. 2 g) 2 and evaluate (g n-. Write the expressions for (g-f)(x) and (g+f(r) and evaluate (g.)(-1). (e11)-D
Suppose that the function h is defined, for all real numbers, as follows. J1 if x...

Suppose that the function h is defined, for all real numbers, as follows. J1 if x = 0 h(x) = 12 if x=0 Graph the function h. X 5 ?
O GRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions g...

O GRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions g and h are defined for all real numbers as follows. g(x)=x-4 h(x)=2x-1 Write the expressions for g-h) (x) and (g-h)(r) and evaluate (g+h) (-2) (g, h)(r) = O ים g- h) (r

Suppose that the functionſ is defined, for all real numbers, as follows. 3x+1 fx < -2...

Suppose that the functionſ is defined, for all real numbers, as follows. 3x+1 fx < -2 x-3 if x 2-2 Graph the functionſ. Then determine whether or not the function is continuous. Is the function continuous? 10 X o Yes NO O X ? 2 8 10 -10 Continue