F(x)=2x-10

y=2x-10

x=2y-10

x+10=2y-10+10 (add both sides by 10)

2y=x+10

2y/2=x+10/2 (divide both sides by 2)

y=1/2x+5

Final Answer: f^-1(x)=1/2x+5

6 0

2 years ago

What is the y-intercept of the exponential function? f(x)=−32(2)x−3+3 Enter your answer in the box.

Bogdan [553]

y-intercept for x = 0.

Substitute x = 0 to the equation of the function:

$f(x)=-32(2)^{x-3}+3\\\\f(0)=-32(2)^{0-3}+3=-32(2)^{-3}+3=-32\cdot\dfrac{1}{2^3}+3=-32\cdot\dfrac{1}{8}+3\\\\=-4+3=-1\\\\Answer:\ \boxed{y-intercept=-1\to(0,\ -1)}$

6 0

3 years ago

Read 2 more answers

A company's stock was selling at

belka [17]

old: $16

new: $20

percent increase

-> formula: (new-old / old) x 100

(20-16 / 16) x 100

4/16 x 100

0.25 x 100

answer: 25% increase

8 0

3 years ago