Adding
Given g(x) = 6-x3 and h(x) = 2x+1. State domain if there are limitations.
(h+g)(x)
-x3+2x+7
no limitations
Given f(x) = x2+3x-10 and h(x) = 2x+1. State domain if there are limitations.
(f-h)(x)
x2+x-11
no limitations
Given f(x) = x2+3x-10 and h(x) = 2x+1. State domain if there are limitations.
(f*h)(x)
2x3+7x2-17x-10
no limitations
Determine if f(x) has an inverse, if yes, finds f1(x). State any restrictions in the domain.
f(x)= 4x-8
f1(x)= (x+8)/4
Given f(x)=x2+2x-3 and g(x)=15x-1. State domain if there are limitations.
(gof)(x)
(gof)(x)=15(x2+2x-3)-1
no limitations
Given f(x) = x2+3x-10 and g(x) = 6-x3. State domain if there are limitations.
(f+g)(x)
-x3+x2+3x-4
no limitations
Given f(x) = x2+3x-10 and g(x) = 6-x3. State domain if there are limitations.
(f-g)(x)
x3+x2+3x-16
no limitations
Given f(x) = x2+3x-10 and h(x) = 2x+1. State domain if there are limitations.
(f/h)(x)
(x2+3x-10)/(2x+1)
limitation: x does not equal -1/2 because nothing can be divided by zero
Determine if f(x) has an inverse, if yes, finds f1(x). State any restrictions in the domain.
f(x)= (1/2)x3 -1
f1(x) = cube root of 2x+2
Given f(x)=x2+6x-22 and g(x)=3x+3. State domain if there are limitations.
(fog)(x)
(fog)(x)=(3x+3)2=6(3x+3)-22
no limitations
Given f(x)=4x3-x2-68x+35 and g(x)=-x3-4x+11. State domain if there are limitations and evaluate.
(f+g)(-5)
(f+g)(-5)=6
no limitations
Given f(x)=x2+2x-11 and g(x)=x2+8x+14. State domain if there are limitations and evaluate.
(g-f)(-4)
(g-f)(-4)=1
no limitations
Given f(x)=4x-3 and g(x)= x2-6x-16. State domain if there are limitations and evaluate.
(f/g)(9)
(f/g)(9)=3
limitations: x doesn't equal 8 or -2
Determine if f(x) has an inverse, if yes, finds f1(x). State any restrictions in the domain.
f(x) = (x-4)2 +6
not an inverse; doesn't pass HLT
Given f(x)=x2-21 and g(x)=2x-47. State domain if there are limitations and evaluate.
(fog)(7)
(fog)(7)=9
no limitations
Given f(x) = x2+16x-24 and g(x)=x2-5x-17. State domain if there are limitations and evaluate.
(f+g)(3)
(f+g)(3)=10
no limitations
Given f(x) = absolute value of (2-5x) and g(x) = x2/x+2. State domain if there are limitations and evaluate.
(f-g)(-3)
(f-g)(-3)= 26
no limitations
Given f(x)= (x+2)2 and g(x) = 2x+9. State domain if there are limitations and evaluate.
(f*g)(-1)
(f*g)(-1)=7
no limitations
Determine whether the pair of functions are inverse functions.
f(x) = (x-1)/9 and g(x) = 9x+9
not inverse functions
Given f(x)=x2-3x-23 and g(x)=x-1. State domain if there are limitations and evaluate.
(fog)(-3)
(fog)(-3)=5
no limitations
Given f(x)= 15-2x-x2 and g(x)= 2x2+10x-1. State domain if there are limitations and evaluate.
(f+g)(-6)
(f+g)(-6)=2
no limitations
Given f(x) = absolute value of (2-5x) and h(x) = - (cube root of x) +7. State domain if there are limitations and evaluate.
(f-h)(8)
(f-h)(8)=33
no limitations
Given f(x) = absolute value of (2-5x) and g(x) = x2/x+2. State domain if there are limitations and evaluate.
(g/f)(2)
(g/f)(2)=1/8
limitations: x does not equal -2
Determine whether the pair of functions are inverse functions.
f(x) = 8x-12 and g(x) = 1/8x +3/2
yes; inverse functions
Given f(x) = absolute value of (2-5x) and g(x) = x2/x+2. State domain if there are limitations and evaluate.
(fog)(-1)
(fog)(-1) = 3
no limitations