Question

f(3)=5x+31

Answer 1

you mean f(x) = 5x+31, find f(3) ?

Answer 2

yes sorry

Answer 3

46.

Answer 4

ok, since x is replaced by 3 in f(x), we just plug in 3. \(f(\color{red}x)=5\color{red}x+31 \\ f(\color{red}3)=5(\color{red}3)+31\)

Answer 5

does that make sense?

Answer 6

f(3)=15+31?

Answer 7

yep. now what's 15+31?

Answer 8

f(3)=46

Answer 9

yep there you go.

Answer 10

it also asks me to find the inverse of the function

Answer 11

@geerky42

Answer 12

inverse can be found out by exchanging the x and the y vaue

Answer 13

which will be x=5y + 31

Answer 14

isolate the y variable and u will get ur answer

Answer 15

f(3)=5x+31

Geometric figure: Straight Line

Slope = 3.333/2.000 = 1.667
x-intercept = 31/-5 = -6.20000
f-intercept = 31/3 = 10.33333
Rearrange :

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

f*(3)-(5*x+31)=0

Step by step solution :

Step 1 :


Equation at the end of step 1 :

3f - 5x - 31 = 0
Step 2 :

Solve 3f-5x-31 = 0
Equation of a Straight Line

2.1 Solve 3f-5x-31 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3f-5x-31 = 0 and calculate its properties

Graph of a Straight Line :



Calculate the Y-Intercept :

Notice that when x = 0 the value of f is 31/3 so this line "cuts" the f axis at f=10.33333

f-intercept = 31/3 = 10.33333
Calculate the X-Intercept :

When f = 0 the value of x is 31/-5 Our line therefore "cuts" the x axis at x=-6.20000

x-intercept = 31/-5 = -6.20000
Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is 10.333 and for x=2.000, the value of f is 13.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 13.667 - 10.333 = 3.333 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.333/2.000 = 1.667
Geometric figure: Straight Line

Slope = 3.333/2.000 = 1.667
x-intercept = 31/-5 = -6.20000
f-intercept = 31/3 = 10.33333