SOLUTION: Consider the function. F(x)=-7x+4
a.) Find the inverse of f(x) and g(x). Show and explain work
b.) Draw the graphs of f(x) and g(x) on the same coordinate plan. Explain how your
Algebra.Com
Question 1002665: Consider the function. F(x)=-7x+4
a.) Find the inverse of f(x) and g(x). Show and explain work
b.) Draw the graphs of f(x) and g(x) on the same coordinate plan. Explain how your graph shows that the function are inverses of each other.
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
inverse is changing x and y then solving for y
y= -7x+4 becomes x=-7y+4
that is -7y=x-4
y=(-x/7)+(4/7)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Consider the function.
a.) Find the inverse of f(x) and g(x). Show and explain work
recall that
so, you have
to find inverse, first swap and
...now solve for which is going to be your
=> inverse
b.) Draw the graphs of f(x) and g(x) on the same coordinate plan. Explain how your graph shows that the function are inverses of each other.
for each one you need two points to graph it
find x and y-intercepts
=>=>=>x-intercept at (,)
=>=>y-intercept at (,)
=>=>=>x-intercept at (,)
=>=>y-intercept at (,)
plot these points and draw a line through
Now I will plug the formula for into every instance of "x" in the formula for :
if I end up with just "", that will be proof that and are inverses of each other
which proofs that and are inverses of each other
RELATED QUESTIONS
Consider the function f(x)=3x-6 and g(x)=x/3+2. A) Find f(g(x)). B) Find g(f(x)). C)... (answered by ReadingBoosters)
CONSIDER THE FUNCTION F(X) = 1/2x + 1
find the inverse of f(x) and name it g(x). show... (answered by CubeyThePenguin)
Consider the function. f(x)= 1/2x + 1
a. Find the inverse of f(x) and name it g(x). Show (answered by MathLover1)
Let f(x)= x^2 +x -6 and absolute value x^2 + x -6
a) Draw the graph of f and g and... (answered by Fombitz)
Please show work
Let f(x)= sqrt(x+5) and g(x)=x−3.
(a) Find... (answered by Fombitz)
Please show work.
Consider the functions:
f(x)=x^2+4
g(x)=x
a. find f(2g(x))
b. (answered by fractalier)
consider the function f(x)=x^3-4 and g(x)=3 sqrt x+4
a. find f(g(x))
b. find g(f(x))
(answered by Theo)
Show work please. consider the functions f(x)=4x-16 and g(x)= x/4 +4.
Find f(g(x)) and... (answered by josgarithmetic)
given: f(x)= x^2+2 and g(x)= 3x+1
a) find the composition (f of g)(x)
b) find the... (answered by dolly)