Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If f−1(−25)=7 f^{-1}(-25) = 7 , then what is f(7) f(7) ?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Evaluate expression when two complex numbers are givenright chevron icon

Full solution

Q. If f−1(−25)=7 f^{-1}(-25) = 7 , then what is f(7) f(7) ?
  1. Given information: We are given that f−1(−25)=7f^{-1}(-25) = 7, which means that when the inverse function of ff is applied to −25-25, the result is 77. This implies that applying the function ff to 77 should give us −25-25, because the function and its inverse undo each other.
  2. Implication of given information: Since we know that applying ff to 77 should give us the value that, when the inverse function is applied, gives us 77, we can conclude that f(7)=−25f(7) = -25. This is by the definition of inverse functions: if f−1(x)=yf^{-1}(x) = y, then f(y)=xf(y) = x.

More problems from Evaluate expression when two complex numbers are given

Question
Simplify.\newline8i+6i8i + 6i\newline\newlineWrite your answer in the form a+bia + bi.
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the complex conjugate of the given number.\newline4+10i4 + 10i\newline\newlineWrite your answer in the form a+bia + bi.
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify.\newline−4i−9i\frac{{-4i}}{{-9i}}\newline\newlineWrite your simplified answer in the form a+bia + bi.
Get tutor helpright-arrow

Posted 5 months ago

Question
Combine the like terms to create an equivalent expression.\newline7k−k+19=07k-k+19=\boxed{\phantom{0}}
Get tutor helpright-arrow

Posted 10 months ago

Question
Apply the distributive property to factor out the greatest common factor.\newline9+12n= 9+12 n=
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve the equation.\newline12=n−9n=□ \begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the amplitude of y=−sin⁡(8x−3)+5 y=-\sin (8 x-3)+5 ?\newlineunits
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the period of\newliney=4sin⁡(−2x+7)−1 ?  y=4 \sin (-2 x+7)-1 \text { ? } \newlineGive an exact value.\newlineunits
Get tutor helpright-arrow

Posted 8 months ago

Question
3⋅(3+20i)= 3 \cdot(3+20 i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
(35−23i)+(13+25i)= (35-23 i)+(13+25 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 8 months ago

View all (73)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant