Answer:
y = (-5/4)x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b
m is the slope and b is the y-intercept
To find m, we can use the plotted points on the graph
(0,5)(4,0)
Now, do delta y/ delta x
(0-5)/(4-0)
slope = -5/4
Now, the y-intercept is the point where the graph crosses the y-axis
This point is where x is 0. Here, when x is 0, y is 5.
Therefore, the y-intercept is 5
Finally, replace what you've found into the equation
y = (-5/4)x + 5
Answer:
66473737
Step-by-step explanation:
747292929277273664646272727282891919919191919919192929298475756565665
Answer:
thats cool so does Susan
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
f(x)=x3−5
Replace f(x)
with y
.
y=x3−5
Interchange the variables.
x=y3−5
Solve for y
.
Since y
is on the right side of the equation, switch the sides so it is on the left side of the equation.
y3−5=x
Add 5
to both sides of the equation.
y3=5+x
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
y=3√5+x
Solve for y
and replace with f−1(x)
.
Replace the y
with f−1(x)
to show the final answer.
f−1(x)=3√5+x
Set up the composite result function.
f(g(x))
Evaluate f(g(x))
by substituting in the value of g into f
.
(3√5+x)3−5
Simplify each term.
Remove parentheses around 3√5+x
.
f(3√5+x)=3√5+x3−5
Rewrite 3√5+x3
as 5+x
.
f(3√5+x)=5+x−5
Simplify by subtracting numbers.
.
Subtract 5
from 5
.
f(3√5+x)=x+0
Add x
and 0
.
f(3√5+x)=x
Since f(g(x))=x
, f−1(x)=3√5+x is the inverse of f(x)=x3−5
.
f−1(x)=3√5+x
