3 years ago

Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19. (1 point) 1 68 72 84

Mathematics

1 answer:

vovangra [49]3 years ago

6 0

Answer:

x = 19, y = 1

Step-by-step explanation:

f(x) = 5(x + 4) - 6

y = 5(x + 4) - 6

inverse function:

switch x and y

x = 5(y + 4) - 6

solve for y

x = 5y + 20 - 6

x = 5y + 14

x - 5y = 14

-5y = -x + 14

y = (-x + 14)/-5

y = 1/5x - 2.8

plug 19 in for x

y = 1/5(19) - 2.8

y = 3.8 - 2.8

y = 1

You might be interested in

For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?

ser-zykov [4K]

Answer:

$\boxed{\sf k=6}$

Step-by-step explanation:

$\sf kx (x-2)+6=0$

Expand brackets.

$\sf kx^2 -2kx+6=0$

This is in quadratic form.

$\sf ax^2 +bx+c=0$

Since this is for equal roots:

$\sf b^2 -4ac=0$

$\sf a=k\\b=-2k\\c=6$

$\sf (-2k)^2 -4(k)(6)=0$

$\sf 4k^2-24k=0$

$\sf 4k(k-6)=0$

$\sf 4k=0\\k=0$

$\sf k-6=0\\k=6$

Plug k as 0 to check.

$\sf \sf 0x^2 -2(0)x+6=0\\6=0$

False.

So that means k must equal 6.

3 0

3 years ago

Which of these can be considered “online banking?”

Masteriza [31]

Answer:

All

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the total amount that Mr.Juárez will have in his account at the end of 3 years?

kupik [55]

I think A because 560×3=1,680

3 0

3 years ago

Factoring 2m^2 + 10m+25

oksian1 [2.3K]

Oh...........sorry?
///

5 0

3 years ago

The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic p

OverLord2011 [107]

Answer:

f(x) = 3x^2 -21x +36

Step-by-step explanation:

The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...

f(x) = 3(x -3)(x -4)

Multiplying this out, we get ...

f(x) = 3(x^2 -7x +12)

f(x) = 3x^2 -21x +36

4 0

3 years ago