Inverse Functions & Logarithmic Equations

Inverse Functions

100

The inverse of f(x)= (3,-1)

What is f^-1(x) = (-1,3)

200

The inverse of f(x) = (7,2)

What is f^'1(x) = (2,7)

300

The inverse function of f(x)= 4x+3

What is f^-1(x)=x-3/4

400

The inverse function of f(x)= x+7/2

What is f^-1(x) = 2x - 7

500

The inverse of f(x)=3(x+5) + 1

What is f^'1(x)= (x-1/3) + 5

Log/ Exponential

100

Rewrite log₅125=x into exponential form

What is 5^x=125

200

Rewrite log₈3x=x into exponential form

What is 8^x=3x

300

Evaluate log₂16

What is x=4

400

Evaluate log(100)

What is x=2

500

Evaluate ln(e⁴)

What is x=4

Negative Exponent Rule

100

Using the negative exponent rule, rewrite ( 1/a^x) )

What is a^-x

200

Evaluate log(1/10)

What is x = -1

300

Evaluate log₂(1/4) 

What is x = -2

400

Evaluate log₇(1/49)

What is x = -2

500

Evaluate log₄(1/64)

What is x = -3