SOLUTION: A function f is given by f(4x-1) = 4x2+5. Evaluate f(15). Answer: f(15) = Answer 905

Question 1120615: A function f is given by f(4x-1) = 4x2+5. Evaluate f(15).
Answer: f(15) = Answer
905

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

905 would be the answer if the function were defined as f(x) = 4x^2+5:

f(15) = 4(15^2)+5 = 4(225)+5 = 900+5 = 905

But the function is defined as f(4x-1) = 4x^2+5. To evaluate f(15), you need to determine the value of x that makes 4x-1 equal to 15.

4x-1 = 15
4x = 16
x = 4

THAT is the value you need to substitute into the expression 4x^2+5 to get the answer.
RELATED QUESTIONS
A function f is given by f(4x-1) = 4x2+5. Evaluate... (answered by Theo)

Evaluate the function at the indicated values. (If an answer is undefined, enter... (answered by davidb52)

Given the function f(x)=3x-4, evaluate: (a) f(x-2), (b) f(x)-f(2), (c) f(1)/f(3), and... (answered by solver91311,rothauserc)

Evaluate the function at the given value of the independent variable and simplify.... (answered by Alan3354,lynnlo)

Given the function f is defined by f(x)= ax^2 + bx + c Given that f(0) = 6, f(-1)= 15,... (answered by shymeerab)

Question: Write Yes if the indicated real numbers are part of the domain of the given... (answered by Alan3354)

evaluate given function for f(3) and f(-2)... (answered by eggsarecool)

1.If f(x) = 4x2 - 3x + 2, evaluate f(-1). 2.State the domain of the function f(x)... (answered by richwmiller,richard1234)

A function fis given by f(x)=|2x - 3|, x ∈ R. (a) Evaluate f(-5) (answered by solver91311)