nth Roots, Radicals, and Radical Exponents
root(4)(x^2)
sqrt(x)
sqrt(x^6y^4)*sqrt(x^8y^6)
x^7y^5
What transformation does the following equation have? f(x)=sqrtx+1
up one unit
root(3)(x)-2=7
729
Let f(x)=-x+6 and g(x)=5x .
What is f+g?
4x+6
What is the inverse of f(x)=x^2+8x+16
f^-1(x)=sqrt(x)-4
-root(3)(25^6)
-625
root(3)(frac{243m^4}{3m}
3mroot(3)(3)
What transformation does the following equation have? f(x)=frac{1}{2}sqrt(x+3)
Compressed by a factor of 1/2
left 3 units
sqrt(25+x)+5=9
-9
Let f(x)=-x+6 and g(x)=5x. What is f-g?
-6x+6
What is the inverse of x^2-9
f^-1(x)=sqrt(x+9)
root(3)(8y^9)
2y^3
(sqrt(n)-sqrt7)(sqrtn+3sqrt7)
n+2sqrt(7n)-21
What transformation does the following equation have?
f(x)=root(3)(x-3)
right 3 units
13-root(4)(x)=10
81
Let f(x)=-x+6 and g(x)=5x. What is g(f(2)).
20
What is the inverse of 2-root(3)(x+1)
f^-1(x)=(2-x)^3-1
root(6)(729a^24b^18
3a^4b^3
(5sqrt3+6)(5sqrt3-6)
39
Rewrite the radical function and what transformation does the following equation have? f(x)=sqrt(25x+75)
Vertical stretch by 5
3 units left
sqrt(5x+1)+1=x
0, 7
0 is extraneous
Let f(x)=3x^2-2x+6 and g(x)=7x-4. What is f+g
3x^2+5x+2
f(x)=frac{1}{4}x+7 and g(x)=4x-7 are the functions inverses of each other?
root(8)(v^8g^40)
vg^5
frac{6}{1+sqrt2
-6+6sqrt2
Rewrite the radical function and what transformation does the following equation have? f(x)=sqrt(4x-24)-6
stretch by a factor of 2
right 6 units
down 3 units
sqrt(6x-20)-x=6
No real solutions
Let f(x)=x^2+x and g(x)=9-2x. What is fcircg ?
4x^2-38x+90
f(x)=x^2+5 and g(x)=sqrt(x)-5 Are the two functions inverses of each other?
Nope