Correct answer is option D.

The solution is listed below

$F(x)=4x+7 \\ \\ 
y=4x+7 \\ \\ 
y-7=4x \\ \\ 
 \frac{y-7}{4}=x \\ \\ 
 x= \frac{y-7}{4} \\ \\ 
f-^{1}(y) = \frac{y-7}{4} \\ \\ 
f-^{1}(x) = \frac{x-7}{4} \\ \\ 
$

6 0

3 years ago

In Exercise, describe how the graph of g is related to the graph of f.<br> g(x)=-1+f(x)

Jet001 [13]

Answer:

The graph of g is the graph of f shifted down 1 unit.

Step-by-step explanation:

Suppose you have a function y = f(x), you can do these following operations on the function:

Shift up a units: y = f(x) + a

Shift down a units: y = f(x) - a

Shift left a units: y = f(x + a)

Shift right a units: y = f(x - a)

In this problem, we have that:

g(x) = -1 + f(x) = f(x) - 1

So the graph of g is the graph of f shifted down 1 unit.

7 0

3 years ago

Use substitution to solve the system of equations.

kakasveta [241]

Answer:

C (let me know if I am wrong!)

Step-by-step explanation:

We need to solve the equation.

If 5x+y = -24, then -24 - 5x = y.

x+ 3(-24-5x) = -2

= -14x-72=-2

= -14x-72+72=-2+72

= -14x=70

= -5

If x = -5, then -5 + 3y = -2.

3y = -2+5

3y = 3

y=1

So the answer is C.

4 0

3 years ago