SOLUTION: F(x)=x^2-3x
g(x)=2x+4
What is the value of:
F(g^-1(-4))
Can you please help me with this problem? I am having trouble with functions.
Algebra.Com
Question 551596: F(x)=x^2-3x
g(x)=2x+4
What is the value of:
F(g^-1(-4))
Can you please help me with this problem? I am having trouble with functions.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
F(x)=x^2-3x
g(x)=2x+4
What is the value of:
F(g^-1(-4))
.
Begin by finding:g^-1(x)
g(x)=2x+4
y=2x+4
switch the variables and solve for y:
x=2y+4
x-4=2y
x/2 - 2 = y (this is g^-1(x))
.
Now, find:
g^-1(-4) = 4/2 - 2
g^-1(-4) = 2 - 2
g^-1(-4) = 0
.
Finally, we can find:
F(g^-1(-4))
F(0)
F(0)=0^2-30 = 0-0 = 0
.
Solution: 0
RELATED QUESTIONS
I am really struggling with this problem. Can someone please help me with it? Thank you... (answered by algebrapro18)
If F(x) = 3x^2 - 5x and G(x) = 2x - 4, find G of F(2) and F of G(2)
I'm having trouble (answered by SMM52091)
Consider the functions:
f(x)=x^2+4
g(x)=x
Find f(g(x))
f(g(1))
find f(2g(x))
(answered by MathLover1)
I am so confused, can you please help me with this question: {{{f(x)=-x^2-3x+5}}}... (answered by Earlsdon)
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
What is g(x) = f^-1(x) if f(x) = 1/2 x?
(answered by jim_thompson5910)
Please help me with this item.
f(x) = 3x ^-1
g(x) = 2x-7
h(x) =(x+4)/3
What is... (answered by Boreal,MathTherapy)
I am having trouble with this problem. Can someone please show me the exact steps,... (answered by stanbon)
can someone please help me with this problem:
What is g(x) = f^-1(x) if f(x) = 1/2x... (answered by nerdybill)