All categories

2 years ago

The inverse of the function g(x)=x−65 can be written in the form g−1(x)=ax+b. What is the value of a?

Mathematics

1 answer:

Anna35 [415]2 years ago

3 0

9514 1404 393

Answer:

a = 1

Step-by-step explanation:

The slope of the inverse of a linear function is the inverse of the slope of the original function.

The slope of g(x) is the coefficient of x: 1.

The inverse of 1 is 1/1 = 1.

The slope of the function g^-1(x) is 1, so a=1.

_____

<em>Additional comment</em>

g^-1(x) = x +65 . . . . . a=1; b=65

You might be interested in

Pls help, will mark brainliest

SashulF [63]

Step-by-step explanation:

$\frac{\pi}{2} = 90$

its 1/4 of the circle

circle circumference:

$8 \times \pi$

we need 1/4 of it, so its

$2 \times \pi = 6.28$

5 0

2 years ago

Gauthmath homework code - ER326P

frozen [14]

Answer:

wat

Step-by-step explanation:

4 0

2 years ago

Find the estimates of x^2-x-2=3

Julli [10]

Answer:

$x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-x-2=3\\x^2-x-5=0$

Roots of the quadratic equation $ax^2+bx+c=0$ are

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

So, for the given equation roots are

$x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

5 0

2 years ago

What is 15% of 75.50 and how did you get it

bekas [8.4K]

A percentage can just be written as a decimal where 100% = 1.00

15% = 0.15

75.5 * 0.15 = 11.325

You just multiply.

8 0

2 years ago

Read 2 more answers

ANYONE FEEL LIKE THEY DON'T BELONG

creativ13 [48]

Answer:

all the time

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers