Operation of Functions
Find (f+g)(x) if f(x)=2x and g(x)=3x.
What is 5x?
Find (f ∘ g)(x) if f(x)=2x and g(x)=x+3.
What is 2(x+3) or 2x+6?
The inverse of addition is this operation.
What is subtraction?
Find (f ∘ g)(3) if f(x)=x+5 and g(x)=6x
What is 23?
Evaluate the function at zero: f(x)=4x-3.
What is -3?
Find (g-f)(x) if f(x)=x2+1 and g(x)=3x2.
What is 2x2-1?
Evaluate (f ∘ g)(2) for f(x)=x^2 and g(x)=x+1.
What is 9?
Find the inverse of f(x)=2x+3.
What is (x-3)/2?
Find (b ∘ c)(1) if b(x)=6x+3 and c(x)=3x
What is 21?
Determine if f(x)=4x2 and g(x) = 2x are equal at x=1.
What is Yes?
Find (f*g)(x) if f(x)=x+1 and g(x)=x-1.
What is x2-1?
If f(x)=3x and g(x)=√x, find (f ∘ g)(x).
What is 3√x?
Find the inverse of f(x)= x-7
What is y= x+7 ?
Find (r ∘ s)(-3) if r(x) = -x-8 and s(x) = -6x-3
What is -23?
Simplify the expression f(x)-g(x) where
f(x)=2x2+5x and g(x)=x2+3.
What is x2+5x-3?
If f(x)=x2 and g(x)=x3, find f(x)*g(x).
What is x5?
If f(x)=x2-4 and g(x)=3x, find (g ∘ f)(x).
What is 3(x2-4) or 3x2-12?
Find the inverse of y = 2x+6
What is y = 1/2 x -3?
Find (f ∘ g)(1) if f(x)=4x-8 and g(x)=3x-7
What is -24?
Find the result of f(x)g(x) if f(x)=x+3 and g(x)=x2.
What is x3+3x2?
Find (f+g)(x) if f(x) = -3x2+5x and g(x)= -5x+4
What is -3x2+4?
Find (f ∘ f)(x) if f(x)=x2+2.
What is (x2+2)2+2?
Find the inverse of y=3x+5
What is y=1/3x -5/3 OR y = (x-5)/3 ?
Find (q ∘ r)(9.9) if q(x)=-4x+6 and r(x)=-4x+6
What is 140.4 ?
Solve (x− 5)2 + 13 = 62.